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Finding the Fourth Proportional to 492,787.40, 680,047.58 and 266,432.90

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Solution

The fourth proportional to 492,787.40, 680,047.58 and 266,432.90 is: 367,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,787.40 : 680,047.58 = 266,432.90 : x
  2. Step 2: Convert to fraction form
    492,787.40/680,047.58 = 266,432.90/x
  3. Step 3: Cross multiply
    492,787.40x = 680,047.58 × 266,432.90
  4. Step 4: Simplify right side
    492,787.40x = 181,187,046,143.23
  5. Step 5: Solve for x
    x = 181,187,046,143.23/492,787.40
  6. Step 6: Final answer
    x = 367,677.92

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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.