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Finding the Fourth Proportional to 442,921.20, 664,381.80 and 162,547.80

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Solution

The fourth proportional to 442,921.20, 664,381.80 and 162,547.80 is: 243,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,921.20 : 664,381.80 = 162,547.80 : x
  2. Step 2: Convert to fraction form
    442,921.20/664,381.80 = 162,547.80/x
  3. Step 3: Cross multiply
    442,921.20x = 664,381.80 × 162,547.80
  4. Step 4: Simplify right side
    442,921.20x = 107,993,799,950.04
  5. Step 5: Solve for x
    x = 107,993,799,950.04/442,921.20
  6. Step 6: Final answer
    x = 243,821.70

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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.