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Finding the Fourth Proportional to 498,568.60, 747,366.90 and 285,117.40

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Solution

The fourth proportional to 498,568.60, 747,366.90 and 285,117.40 is: 427,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,568.60 : 747,366.90 = 285,117.40 : x
  2. Step 2: Convert to fraction form
    498,568.60/747,366.90 = 285,117.40/x
  3. Step 3: Cross multiply
    498,568.60x = 747,366.90 × 285,117.40
  4. Step 4: Simplify right side
    498,568.60x = 213,087,307,374.06
  5. Step 5: Solve for x
    x = 213,087,307,374.06/498,568.60
  6. Step 6: Final answer
    x = 427,398.17

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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.