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Finding the Fourth Proportional to 381,646.60, 572,754.30 and 145,450.60

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Solution

The fourth proportional to 381,646.60, 572,754.30 and 145,450.60 is: 218,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,646.60 : 572,754.30 = 145,450.60 : x
  2. Step 2: Convert to fraction form
    381,646.60/572,754.30 = 145,450.60/x
  3. Step 3: Cross multiply
    381,646.60x = 572,754.30 × 145,450.60
  4. Step 4: Simplify right side
    381,646.60x = 83,307,456,587.58
  5. Step 5: Solve for x
    x = 83,307,456,587.58/381,646.60
  6. Step 6: Final answer
    x = 218,284.29

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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.