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Finding the Fourth Proportional to 499,714.72, 748,370.84 and 285,834.40

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Solution

The fourth proportional to 499,714.72, 748,370.84 and 285,834.40 is: 428,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,714.72 : 748,370.84 = 285,834.40 : x
  2. Step 2: Convert to fraction form
    499,714.72/748,370.84 = 285,834.40/x
  3. Step 3: Cross multiply
    499,714.72x = 748,370.84 × 285,834.40
  4. Step 4: Simplify right side
    499,714.72x = 213,910,130,028.90
  5. Step 5: Solve for x
    x = 213,910,130,028.90/499,714.72
  6. Step 6: Final answer
    x = 428,064.50

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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.