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Finding the Fourth Proportional to 646,643.10, 969,964.65 and 497,171.10

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Solution

The fourth proportional to 646,643.10, 969,964.65 and 497,171.10 is: 745,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,643.10 : 969,964.65 = 497,171.10 : x
  2. Step 2: Convert to fraction form
    646,643.10/969,964.65 = 497,171.10/x
  3. Step 3: Cross multiply
    646,643.10x = 969,964.65 × 497,171.10
  4. Step 4: Simplify right side
    646,643.10x = 482,238,392,001.62
  5. Step 5: Solve for x
    x = 482,238,392,001.62/646,643.10
  6. Step 6: Final answer
    x = 745,756.65

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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.