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Finding the Fourth Proportional to 530,068, 731,493.84 and 291,604

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Solution

The fourth proportional to 530,068, 731,493.84 and 291,604 is: 402,413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,068 : 731,493.84 = 291,604 : x
  2. Step 2: Convert to fraction form
    530,068/731,493.84 = 291,604/x
  3. Step 3: Cross multiply
    530,068x = 731,493.84 × 291,604
  4. Step 4: Simplify right side
    530,068x = 213,306,529,719.36
  5. Step 5: Solve for x
    x = 213,306,529,719.36/530,068
  6. Step 6: Final answer
    x = 402,413.52

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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.