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Finding the Fourth Proportional to 498,301.40, 747,233.40 and 198,682.40

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Solution

The fourth proportional to 498,301.40, 747,233.40 and 198,682.40 is: 297,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,301.40 : 747,233.40 = 198,682.40 : x
  2. Step 2: Convert to fraction form
    498,301.40/747,233.40 = 198,682.40/x
  3. Step 3: Cross multiply
    498,301.40x = 747,233.40 × 198,682.40
  4. Step 4: Simplify right side
    498,301.40x = 148,462,125,272.16
  5. Step 5: Solve for x
    x = 148,462,125,272.16/498,301.40
  6. Step 6: Final answer
    x = 297,936.40

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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.