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Finding the Fourth Proportional to 527,498.81, 727,947.33 and 285,787.42

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Solution

The fourth proportional to 527,498.81, 727,947.33 and 285,787.42 is: 394,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,498.81 : 727,947.33 = 285,787.42 : x
  2. Step 2: Convert to fraction form
    527,498.81/727,947.33 = 285,787.42/x
  3. Step 3: Cross multiply
    527,498.81x = 727,947.33 × 285,787.42
  4. Step 4: Simplify right side
    527,498.81x = 208,038,185,696.85
  5. Step 5: Solve for x
    x = 208,038,185,696.85/527,498.81
  6. Step 6: Final answer
    x = 394,386.08

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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.