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Finding the Fourth Proportional to 527,498.80, 727,947.32 and 285,787.42

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Solution

The fourth proportional to 527,498.80, 727,947.32 and 285,787.42 is: 394,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,498.80 : 727,947.32 = 285,787.42 : x
  2. Step 2: Convert to fraction form
    527,498.80/727,947.32 = 285,787.42/x
  3. Step 3: Cross multiply
    527,498.80x = 727,947.32 × 285,787.42
  4. Step 4: Simplify right side
    527,498.80x = 208,038,186,478.71
  5. Step 5: Solve for x
    x = 208,038,186,478.71/527,498.80
  6. Step 6: Final answer
    x = 394,386.08

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1.5x scale

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.