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Finding the Fourth Proportional to 643,810.60, 965,715.90 and 312,034.60

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Solution

The fourth proportional to 643,810.60, 965,715.90 and 312,034.60 is: 468,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,810.60 : 965,715.90 = 312,034.60 : x
  2. Step 2: Convert to fraction form
    643,810.60/965,715.90 = 312,034.60/x
  3. Step 3: Cross multiply
    643,810.60x = 965,715.90 × 312,034.60
  4. Step 4: Simplify right side
    643,810.60x = 301,336,774,570.14
  5. Step 5: Solve for x
    x = 301,336,774,570.14/643,810.60
  6. Step 6: Final answer
    x = 468,051.90

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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.