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Finding the Fourth Proportional to 488,710.81, 732,836.17 and 189,331.57

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Solution

The fourth proportional to 488,710.81, 732,836.17 and 189,331.57 is: 283,908.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,710.81 : 732,836.17 = 189,331.57 : x
  2. Step 2: Convert to fraction form
    488,710.81/732,836.17 = 189,331.57/x
  3. Step 3: Cross multiply
    488,710.81x = 732,836.17 × 189,331.57
  4. Step 4: Simplify right side
    488,710.81x = 138,749,018,008.05
  5. Step 5: Solve for x
    x = 138,749,018,008.05/488,710.81
  6. Step 6: Final answer
    x = 283,908.23

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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.