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Finding the Fourth Proportional to 415,211.32, 572,991.62 and 224,224.71

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Solution

The fourth proportional to 415,211.32, 572,991.62 and 224,224.71 is: 309,430.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,211.32 : 572,991.62 = 224,224.71 : x
  2. Step 2: Convert to fraction form
    415,211.32/572,991.62 = 224,224.71/x
  3. Step 3: Cross multiply
    415,211.32x = 572,991.62 × 224,224.71
  4. Step 4: Simplify right side
    415,211.32x = 128,478,875,840.85
  5. Step 5: Solve for x
    x = 128,478,875,840.85/415,211.32
  6. Step 6: Final answer
    x = 309,430.09

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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.