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Finding the Fourth Proportional to 500,229, 750,116.70 and 215,785.35

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Solution

The fourth proportional to 500,229, 750,116.70 and 215,785.35 is: 323,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,229 : 750,116.70 = 215,785.35 : x
  2. Step 2: Convert to fraction form
    500,229/750,116.70 = 215,785.35/x
  3. Step 3: Cross multiply
    500,229x = 750,116.70 × 215,785.35
  4. Step 4: Simplify right side
    500,229x = 161,864,194,650.35
  5. Step 5: Solve for x
    x = 161,864,194,650.35/500,229
  6. Step 6: Final answer
    x = 323,580.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.