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Finding the Fourth Proportional to 442,042.80, 663,064.20 and 146,554.80

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Solution

The fourth proportional to 442,042.80, 663,064.20 and 146,554.80 is: 219,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,042.80 : 663,064.20 = 146,554.80 : x
  2. Step 2: Convert to fraction form
    442,042.80/663,064.20 = 146,554.80/x
  3. Step 3: Cross multiply
    442,042.80x = 663,064.20 × 146,554.80
  4. Step 4: Simplify right side
    442,042.80x = 97,175,241,218.16
  5. Step 5: Solve for x
    x = 97,175,241,218.16/442,042.80
  6. Step 6: Final answer
    x = 219,832.20

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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.