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Finding the Fourth Proportional to 415,211.50, 572,991.87 and 224,224.90

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Solution

The fourth proportional to 415,211.50, 572,991.87 and 224,224.90 is: 309,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,211.50 : 572,991.87 = 224,224.90 : x
  2. Step 2: Convert to fraction form
    415,211.50/572,991.87 = 224,224.90/x
  3. Step 3: Cross multiply
    415,211.50x = 572,991.87 × 224,224.90
  4. Step 4: Simplify right side
    415,211.50x = 128,479,044,751.56
  5. Step 5: Solve for x
    x = 128,479,044,751.56/415,211.50
  6. Step 6: Final answer
    x = 309,430.36

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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.