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Finding the Fourth Proportional to 656,456.50, 905,909.97 and 354,650.50

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Solution

The fourth proportional to 656,456.50, 905,909.97 and 354,650.50 is: 489,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,456.50 : 905,909.97 = 354,650.50 : x
  2. Step 2: Convert to fraction form
    656,456.50/905,909.97 = 354,650.50/x
  3. Step 3: Cross multiply
    656,456.50x = 905,909.97 × 354,650.50
  4. Step 4: Simplify right side
    656,456.50x = 321,281,423,815.49
  5. Step 5: Solve for x
    x = 321,281,423,815.49/656,456.50
  6. Step 6: Final answer
    x = 489,417.69

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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.