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Finding the Fourth Proportional to 515,520.32, 772,969.86 and 231,159.41

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Solution

The fourth proportional to 515,520.32, 772,969.86 and 231,159.41 is: 346,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,520.32 : 772,969.86 = 231,159.41 : x
  2. Step 2: Convert to fraction form
    515,520.32/772,969.86 = 231,159.41/x
  3. Step 3: Cross multiply
    515,520.32x = 772,969.86 × 231,159.41
  4. Step 4: Simplify right side
    515,520.32x = 178,679,255,382.32
  5. Step 5: Solve for x
    x = 178,679,255,382.32/515,520.32
  6. Step 6: Final answer
    x = 346,599.83

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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.