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Finding the Fourth Proportional to 442,645.20, 663,881.40 and 147,157.20

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Solution

The fourth proportional to 442,645.20, 663,881.40 and 147,157.20 is: 220,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,645.20 : 663,881.40 = 147,157.20 : x
  2. Step 2: Convert to fraction form
    442,645.20/663,881.40 = 147,157.20/x
  3. Step 3: Cross multiply
    442,645.20x = 663,881.40 × 147,157.20
  4. Step 4: Simplify right side
    442,645.20x = 97,694,927,956.08
  5. Step 5: Solve for x
    x = 97,694,927,956.08/442,645.20
  6. Step 6: Final answer
    x = 220,707.08

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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.