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Finding the Fourth Proportional to 442,915.20, 664,437.60 and 143,344.80

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Solution

The fourth proportional to 442,915.20, 664,437.60 and 143,344.80 is: 215,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,915.20 : 664,437.60 = 143,344.80 : x
  2. Step 2: Convert to fraction form
    442,915.20/664,437.60 = 143,344.80/x
  3. Step 3: Cross multiply
    442,915.20x = 664,437.60 × 143,344.80
  4. Step 4: Simplify right side
    442,915.20x = 95,243,674,884.48
  5. Step 5: Solve for x
    x = 95,243,674,884.48/442,915.20
  6. Step 6: Final answer
    x = 215,038.17

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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.