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Finding the Fourth Proportional to 527,300.95, 727,671.69 and 285,578

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Solution

The fourth proportional to 527,300.95, 727,671.69 and 285,578 is: 394,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,300.95 : 727,671.69 = 285,578 : x
  2. Step 2: Convert to fraction form
    527,300.95/727,671.69 = 285,578/x
  3. Step 3: Cross multiply
    527,300.95x = 727,671.69 × 285,578
  4. Step 4: Simplify right side
    527,300.95x = 207,807,025,886.82
  5. Step 5: Solve for x
    x = 207,807,025,886.82/527,300.95
  6. Step 6: Final answer
    x = 394,095.68

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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.