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Finding the Fourth Proportional to 413,732.20, 620,598.30 and 384,207.70

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Solution

The fourth proportional to 413,732.20, 620,598.30 and 384,207.70 is: 576,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,732.20 : 620,598.30 = 384,207.70 : x
  2. Step 2: Convert to fraction form
    413,732.20/620,598.30 = 384,207.70/x
  3. Step 3: Cross multiply
    413,732.20x = 620,598.30 × 384,207.70
  4. Step 4: Simplify right side
    413,732.20x = 238,438,645,466.91
  5. Step 5: Solve for x
    x = 238,438,645,466.91/413,732.20
  6. Step 6: Final answer
    x = 576,311.55

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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.