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Finding the Fourth Proportional to 442,159.80, 662,990.55 and 153,839.22

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Solution

The fourth proportional to 442,159.80, 662,990.55 and 153,839.22 is: 230,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,159.80 : 662,990.55 = 153,839.22 : x
  2. Step 2: Convert to fraction form
    442,159.80/662,990.55 = 153,839.22/x
  3. Step 3: Cross multiply
    442,159.80x = 662,990.55 × 153,839.22
  4. Step 4: Simplify right side
    442,159.80x = 101,993,949,079.37
  5. Step 5: Solve for x
    x = 101,993,949,079.37/442,159.80
  6. Step 6: Final answer
    x = 230,672.14

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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.