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Finding the Fourth Proportional to 415,210.50, 572,990.49 and 224,223.90

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Solution

The fourth proportional to 415,210.50, 572,990.49 and 224,223.90 is: 309,428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,210.50 : 572,990.49 = 224,223.90 : x
  2. Step 2: Convert to fraction form
    415,210.50/572,990.49 = 224,223.90/x
  3. Step 3: Cross multiply
    415,210.50x = 572,990.49 × 224,223.90
  4. Step 4: Simplify right side
    415,210.50x = 128,478,162,330.71
  5. Step 5: Solve for x
    x = 128,478,162,330.71/415,210.50
  6. Step 6: Final answer
    x = 309,428.98

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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.