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Finding the Fourth Proportional to 643,812.10, 965,718.15 and 312,036.10

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Solution

The fourth proportional to 643,812.10, 965,718.15 and 312,036.10 is: 468,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,812.10 : 965,718.15 = 312,036.10 : x
  2. Step 2: Convert to fraction form
    643,812.10/965,718.15 = 312,036.10/x
  3. Step 3: Cross multiply
    643,812.10x = 965,718.15 × 312,036.10
  4. Step 4: Simplify right side
    643,812.10x = 301,338,925,225.22
  5. Step 5: Solve for x
    x = 301,338,925,225.22/643,812.10
  6. Step 6: Final answer
    x = 468,054.15

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.