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Finding the Fourth Proportional to 527,179.95, 727,508.72 and 285,464.43

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Solution

The fourth proportional to 527,179.95, 727,508.72 and 285,464.43 is: 393,941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,179.95 : 727,508.72 = 285,464.43 : x
  2. Step 2: Convert to fraction form
    527,179.95/727,508.72 = 285,464.43/x
  3. Step 3: Cross multiply
    527,179.95x = 727,508.72 × 285,464.43
  4. Step 4: Simplify right side
    527,179.95x = 207,677,860,647.51
  5. Step 5: Solve for x
    x = 207,677,860,647.51/527,179.95
  6. Step 6: Final answer
    x = 393,941.12

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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.