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Finding the Fourth Proportional to 527,433.93, 727,852.23 and 285,710.49

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Solution

The fourth proportional to 527,433.93, 727,852.23 and 285,710.49 is: 394,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,433.93 : 727,852.23 = 285,710.49 : x
  2. Step 2: Convert to fraction form
    527,433.93/727,852.23 = 285,710.49/x
  3. Step 3: Cross multiply
    527,433.93x = 727,852.23 × 285,710.49
  4. Step 4: Simplify right side
    527,433.93x = 207,955,017,280.89
  5. Step 5: Solve for x
    x = 207,955,017,280.89/527,433.93
  6. Step 6: Final answer
    x = 394,276.90

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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.