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Finding the Fourth Proportional to 498,395.16, 747,767.70 and 311,187.96

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Solution

The fourth proportional to 498,395.16, 747,767.70 and 311,187.96 is: 466,891.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,395.16 : 747,767.70 = 311,187.96 : x
  2. Step 2: Convert to fraction form
    498,395.16/747,767.70 = 311,187.96/x
  3. Step 3: Cross multiply
    498,395.16x = 747,767.70 × 311,187.96
  4. Step 4: Simplify right side
    498,395.16x = 232,696,305,116.89
  5. Step 5: Solve for x
    x = 232,696,305,116.89/498,395.16
  6. Step 6: Final answer
    x = 466,891.18

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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.