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Finding the Fourth Proportional to 527,760, 728,354.88 and 289,342.08

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Solution

The fourth proportional to 527,760, 728,354.88 and 289,342.08 is: 399,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,760 : 728,354.88 = 289,342.08 : x
  2. Step 2: Convert to fraction form
    527,760/728,354.88 = 289,342.08/x
  3. Step 3: Cross multiply
    527,760x = 728,354.88 × 289,342.08
  4. Step 4: Simplify right side
    527,760x = 210,743,715,957.35
  5. Step 5: Solve for x
    x = 210,743,715,957.35/527,760
  6. Step 6: Final answer
    x = 399,317.33

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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.