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Finding the Fourth Proportional to 415,211.54, 572,991.92 and 224,224.92

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Solution

The fourth proportional to 415,211.54, 572,991.92 and 224,224.92 is: 309,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,211.54 : 572,991.92 = 224,224.92 : x
  2. Step 2: Convert to fraction form
    415,211.54/572,991.92 = 224,224.92/x
  3. Step 3: Cross multiply
    415,211.54x = 572,991.92 × 224,224.92
  4. Step 4: Simplify right side
    415,211.54x = 128,479,066,301.52
  5. Step 5: Solve for x
    x = 128,479,066,301.52/415,211.54
  6. Step 6: Final answer
    x = 309,430.39

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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.