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Finding the Fourth Proportional to 498,213.70, 747,429.90 and 245,615.20

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Solution

The fourth proportional to 498,213.70, 747,429.90 and 245,615.20 is: 368,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,213.70 : 747,429.90 = 245,615.20 : x
  2. Step 2: Convert to fraction form
    498,213.70/747,429.90 = 245,615.20/x
  3. Step 3: Cross multiply
    498,213.70x = 747,429.90 × 245,615.20
  4. Step 4: Simplify right side
    498,213.70x = 183,580,144,374.48
  5. Step 5: Solve for x
    x = 183,580,144,374.48/498,213.70
  6. Step 6: Final answer
    x = 368,476.71

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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.