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Finding the Fourth Proportional to 413,672.80, 620,562.12 and 147,460.20

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Solution

The fourth proportional to 413,672.80, 620,562.12 and 147,460.20 is: 221,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,672.80 : 620,562.12 = 147,460.20 : x
  2. Step 2: Convert to fraction form
    413,672.80/620,562.12 = 147,460.20/x
  3. Step 3: Cross multiply
    413,672.80x = 620,562.12 × 147,460.20
  4. Step 4: Simplify right side
    413,672.80x = 91,508,214,327.62
  5. Step 5: Solve for x
    x = 91,508,214,327.62/413,672.80
  6. Step 6: Final answer
    x = 221,209.16

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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.