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Finding the Fourth Proportional to 527,963.93, 727,885.38 and 419,428.38

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Solution

The fourth proportional to 527,963.93, 727,885.38 and 419,428.38 is: 578,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,963.93 : 727,885.38 = 419,428.38 : x
  2. Step 2: Convert to fraction form
    527,963.93/727,885.38 = 419,428.38/x
  3. Step 3: Cross multiply
    527,963.93x = 727,885.38 × 419,428.38
  4. Step 4: Simplify right side
    527,963.93x = 305,295,785,759.08
  5. Step 5: Solve for x
    x = 305,295,785,759.08/527,963.93
  6. Step 6: Final answer
    x = 578,251.22

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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.