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Finding the Fourth Proportional to 415,708.72, 573,670 and 234,417.36

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Solution

The fourth proportional to 415,708.72, 573,670 and 234,417.36 is: 323,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,708.72 : 573,670 = 234,417.36 : x
  2. Step 2: Convert to fraction form
    415,708.72/573,670 = 234,417.36/x
  3. Step 3: Cross multiply
    415,708.72x = 573,670 × 234,417.36
  4. Step 4: Simplify right side
    415,708.72x = 134,478,206,911.20
  5. Step 5: Solve for x
    x = 134,478,206,911.20/415,708.72
  6. Step 6: Final answer
    x = 323,491.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.