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Finding the Fourth Proportional to 415,215.40, 572,997.24 and 224,228.77

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Solution

The fourth proportional to 415,215.40, 572,997.24 and 224,228.77 is: 309,435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,215.40 : 572,997.24 = 224,228.77 : x
  2. Step 2: Convert to fraction form
    415,215.40/572,997.24 = 224,228.77/x
  3. Step 3: Cross multiply
    415,215.40x = 572,997.24 × 224,228.77
  4. Step 4: Simplify right side
    415,215.40x = 128,482,464,906.10
  5. Step 5: Solve for x
    x = 128,482,464,906.10/415,215.40
  6. Step 6: Final answer
    x = 309,435.69

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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.