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Finding the Fourth Proportional to 656,274.13, 905,658.90 and 354,468.13

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Solution

The fourth proportional to 656,274.13, 905,658.90 and 354,468.13 is: 489,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,274.13 : 905,658.90 = 354,468.13 : x
  2. Step 2: Convert to fraction form
    656,274.13/905,658.90 = 354,468.13/x
  3. Step 3: Cross multiply
    656,274.13x = 905,658.90 × 354,468.13
  4. Step 4: Simplify right side
    656,274.13x = 321,027,216,700.86
  5. Step 5: Solve for x
    x = 321,027,216,700.86/656,274.13
  6. Step 6: Final answer
    x = 489,166.34

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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.