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Finding the Fourth Proportional to 417,956.40, 626,613.12 and 207,431.04

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Solution

The fourth proportional to 417,956.40, 626,613.12 and 207,431.04 is: 310,987.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,956.40 : 626,613.12 = 207,431.04 : x
  2. Step 2: Convert to fraction form
    417,956.40/626,613.12 = 207,431.04/x
  3. Step 3: Cross multiply
    417,956.40x = 626,613.12 × 207,431.04
  4. Step 4: Simplify right side
    417,956.40x = 129,979,011,159.25
  5. Step 5: Solve for x
    x = 129,979,011,159.25/417,956.40
  6. Step 6: Final answer
    x = 310,987.01

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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.