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Finding the Fourth Proportional to 482,385.16, 724,011.42 and 257,937.44

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Solution

The fourth proportional to 482,385.16, 724,011.42 and 257,937.44 is: 387,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,385.16 : 724,011.42 = 257,937.44 : x
  2. Step 2: Convert to fraction form
    482,385.16/724,011.42 = 257,937.44/x
  3. Step 3: Cross multiply
    482,385.16x = 724,011.42 × 257,937.44
  4. Step 4: Simplify right side
    482,385.16x = 186,749,652,205.57
  5. Step 5: Solve for x
    x = 186,749,652,205.57/482,385.16
  6. Step 6: Final answer
    x = 387,138.05

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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.