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Finding the Fourth Proportional to 442,956.40, 664,434.60 and 162,437.20

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Solution

The fourth proportional to 442,956.40, 664,434.60 and 162,437.20 is: 243,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,956.40 : 664,434.60 = 162,437.20 : x
  2. Step 2: Convert to fraction form
    442,956.40/664,434.60 = 162,437.20/x
  3. Step 3: Cross multiply
    442,956.40x = 664,434.60 × 162,437.20
  4. Step 4: Simplify right side
    442,956.40x = 107,928,896,007.12
  5. Step 5: Solve for x
    x = 107,928,896,007.12/442,956.40
  6. Step 6: Final answer
    x = 243,655.80

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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.