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Finding the Fourth Proportional to 488,408.68, 732,502.32 and 172,865.62

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Solution

The fourth proportional to 488,408.68, 732,502.32 and 172,865.62 is: 259,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,408.68 : 732,502.32 = 172,865.62 : x
  2. Step 2: Convert to fraction form
    488,408.68/732,502.32 = 172,865.62/x
  3. Step 3: Cross multiply
    488,408.68x = 732,502.32 × 172,865.62
  4. Step 4: Simplify right side
    488,408.68x = 126,624,468,937.99
  5. Step 5: Solve for x
    x = 126,624,468,937.99/488,408.68
  6. Step 6: Final answer
    x = 259,259.25

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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.