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Finding the Fourth Proportional to 642,268.20, 962,480.70 and 472,463.40

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Solution

The fourth proportional to 642,268.20, 962,480.70 and 472,463.40 is: 708,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,268.20 : 962,480.70 = 472,463.40 : x
  2. Step 2: Convert to fraction form
    642,268.20/962,480.70 = 472,463.40/x
  3. Step 3: Cross multiply
    642,268.20x = 962,480.70 × 472,463.40
  4. Step 4: Simplify right side
    642,268.20x = 454,736,903,956.38
  5. Step 5: Solve for x
    x = 454,736,903,956.38/642,268.20
  6. Step 6: Final answer
    x = 708,017.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.