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Finding the Fourth Proportional to 442,909.40, 664,461.30 and 143,403.80

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Solution

The fourth proportional to 442,909.40, 664,461.30 and 143,403.80 is: 215,137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,909.40 : 664,461.30 = 143,403.80 : x
  2. Step 2: Convert to fraction form
    442,909.40/664,461.30 = 143,403.80/x
  3. Step 3: Cross multiply
    442,909.40x = 664,461.30 × 143,403.80
  4. Step 4: Simplify right side
    442,909.40x = 95,286,275,372.94
  5. Step 5: Solve for x
    x = 95,286,275,372.94/442,909.40
  6. Step 6: Final answer
    x = 215,137.17

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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.