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Finding the Fourth Proportional to 340,543.80, 510,844.98 and 87,822

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Solution

The fourth proportional to 340,543.80, 510,844.98 and 87,822 is: 131,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,543.80 : 510,844.98 = 87,822 : x
  2. Step 2: Convert to fraction form
    340,543.80/510,844.98 = 87,822/x
  3. Step 3: Cross multiply
    340,543.80x = 510,844.98 × 87,822
  4. Step 4: Simplify right side
    340,543.80x = 44,863,427,833.56
  5. Step 5: Solve for x
    x = 44,863,427,833.56/340,543.80
  6. Step 6: Final answer
    x = 131,740.55

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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.