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Finding the Fourth Proportional to 415,423.10, 573,283.15 and 224,435.90

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Solution

The fourth proportional to 415,423.10, 573,283.15 and 224,435.90 is: 309,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,423.10 : 573,283.15 = 224,435.90 : x
  2. Step 2: Convert to fraction form
    415,423.10/573,283.15 = 224,435.90/x
  3. Step 3: Cross multiply
    415,423.10x = 573,283.15 × 224,435.90
  4. Step 4: Simplify right side
    415,423.10x = 128,665,316,297.58
  5. Step 5: Solve for x
    x = 128,665,316,297.58/415,423.10
  6. Step 6: Final answer
    x = 309,721.14

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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.