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Finding the Fourth Proportional to 343,080.66, 514,670.61 and 129,790.74

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Solution

The fourth proportional to 343,080.66, 514,670.61 and 129,790.74 is: 194,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,080.66 : 514,670.61 = 129,790.74 : x
  2. Step 2: Convert to fraction form
    343,080.66/514,670.61 = 129,790.74/x
  3. Step 3: Cross multiply
    343,080.66x = 514,670.61 × 129,790.74
  4. Step 4: Simplify right side
    343,080.66x = 66,799,479,328.15
  5. Step 5: Solve for x
    x = 66,799,479,328.15/343,080.66
  6. Step 6: Final answer
    x = 194,704.88

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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.