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Finding the Fourth Proportional to 527,612.89, 728,108.32 and 285,895.90

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Solution

The fourth proportional to 527,612.89, 728,108.32 and 285,895.90 is: 394,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,612.89 : 728,108.32 = 285,895.90 : x
  2. Step 2: Convert to fraction form
    527,612.89/728,108.32 = 285,895.90/x
  3. Step 3: Cross multiply
    527,612.89x = 728,108.32 × 285,895.90
  4. Step 4: Simplify right side
    527,612.89x = 208,163,183,443.89
  5. Step 5: Solve for x
    x = 208,163,183,443.89/527,612.89
  6. Step 6: Final answer
    x = 394,537.71

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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.