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Finding the Fourth Proportional to 469,531.96, 704,310.08 and 127,978.20

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Solution

The fourth proportional to 469,531.96, 704,310.08 and 127,978.20 is: 191,970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,531.96 : 704,310.08 = 127,978.20 : x
  2. Step 2: Convert to fraction form
    469,531.96/704,310.08 = 127,978.20/x
  3. Step 3: Cross multiply
    469,531.96x = 704,310.08 × 127,978.20
  4. Step 4: Simplify right side
    469,531.96x = 90,136,336,280.26
  5. Step 5: Solve for x
    x = 90,136,336,280.26/469,531.96
  6. Step 6: Final answer
    x = 191,970.61

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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.