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Finding the Fourth Proportional to 442,842.80, 664,264.20 and 147,354.80

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Solution

The fourth proportional to 442,842.80, 664,264.20 and 147,354.80 is: 221,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,842.80 : 664,264.20 = 147,354.80 : x
  2. Step 2: Convert to fraction form
    442,842.80/664,264.20 = 147,354.80/x
  3. Step 3: Cross multiply
    442,842.80x = 664,264.20 × 147,354.80
  4. Step 4: Simplify right side
    442,842.80x = 97,882,518,338.16
  5. Step 5: Solve for x
    x = 97,882,518,338.16/442,842.80
  6. Step 6: Final answer
    x = 221,032.20

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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.