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Finding the Fourth Proportional to 415,211.82, 572,992.31 and 224,225.21

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Solution

The fourth proportional to 415,211.82, 572,992.31 and 224,225.21 is: 309,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,211.82 : 572,992.31 = 224,225.21 : x
  2. Step 2: Convert to fraction form
    415,211.82/572,992.31 = 224,225.21/x
  3. Step 3: Cross multiply
    415,211.82x = 572,992.31 × 224,225.21
  4. Step 4: Simplify right side
    415,211.82x = 128,479,317,052.05
  5. Step 5: Solve for x
    x = 128,479,317,052.05/415,211.82
  6. Step 6: Final answer
    x = 309,430.78

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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.