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Finding the Fourth Proportional to 345,732, 518,685.48 and 96,414

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Solution

The fourth proportional to 345,732, 518,685.48 and 96,414 is: 144,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,732 : 518,685.48 = 96,414 : x
  2. Step 2: Convert to fraction form
    345,732/518,685.48 = 96,414/x
  3. Step 3: Cross multiply
    345,732x = 518,685.48 × 96,414
  4. Step 4: Simplify right side
    345,732x = 50,008,541,868.72
  5. Step 5: Solve for x
    x = 50,008,541,868.72/345,732
  6. Step 6: Final answer
    x = 144,645.40

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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.