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Finding the Fourth Proportional to 656,154.50, 905,493.21 and 354,348.50

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Solution

The fourth proportional to 656,154.50, 905,493.21 and 354,348.50 is: 489,000.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,154.50 : 905,493.21 = 354,348.50 : x
  2. Step 2: Convert to fraction form
    656,154.50/905,493.21 = 354,348.50/x
  3. Step 3: Cross multiply
    656,154.50x = 905,493.21 × 354,348.50
  4. Step 4: Simplify right side
    656,154.50x = 320,860,156,196.22
  5. Step 5: Solve for x
    x = 320,860,156,196.22/656,154.50
  6. Step 6: Final answer
    x = 489,000.93

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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.