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Finding the Fourth Proportional to 345,253.80, 517,951.29 and 145,574.40

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Solution

The fourth proportional to 345,253.80, 517,951.29 and 145,574.40 is: 218,391.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,253.80 : 517,951.29 = 145,574.40 : x
  2. Step 2: Convert to fraction form
    345,253.80/517,951.29 = 145,574.40/x
  3. Step 3: Cross multiply
    345,253.80x = 517,951.29 × 145,574.40
  4. Step 4: Simplify right side
    345,253.80x = 75,400,448,270.98
  5. Step 5: Solve for x
    x = 75,400,448,270.98/345,253.80
  6. Step 6: Final answer
    x = 218,391.36

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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.