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Finding the Fourth Proportional to 527,113.47, 727,413.51 and 285,390.97

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Solution

The fourth proportional to 527,113.47, 727,413.51 and 285,390.97 is: 393,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,113.47 : 727,413.51 = 285,390.97 : x
  2. Step 2: Convert to fraction form
    527,113.47/727,413.51 = 285,390.97/x
  3. Step 3: Cross multiply
    527,113.47x = 727,413.51 × 285,390.97
  4. Step 4: Simplify right side
    527,113.47x = 207,597,248,507.54
  5. Step 5: Solve for x
    x = 207,597,248,507.54/527,113.47
  6. Step 6: Final answer
    x = 393,837.87

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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.