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Finding the Fourth Proportional to 499,658.90, 689,512.08 and 284,868.14

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Solution

The fourth proportional to 499,658.90, 689,512.08 and 284,868.14 is: 393,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,658.90 : 689,512.08 = 284,868.14 : x
  2. Step 2: Convert to fraction form
    499,658.90/689,512.08 = 284,868.14/x
  3. Step 3: Cross multiply
    499,658.90x = 689,512.08 × 284,868.14
  4. Step 4: Simplify right side
    499,658.90x = 196,420,023,737.13
  5. Step 5: Solve for x
    x = 196,420,023,737.13/499,658.90
  6. Step 6: Final answer
    x = 393,108.23

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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.