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Finding the Fourth Proportional to 334,697.10, 502,042.45 and 81,978.70

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Solution

The fourth proportional to 334,697.10, 502,042.45 and 81,978.70 is: 122,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,697.10 : 502,042.45 = 81,978.70 : x
  2. Step 2: Convert to fraction form
    334,697.10/502,042.45 = 81,978.70/x
  3. Step 3: Cross multiply
    334,697.10x = 502,042.45 × 81,978.70
  4. Step 4: Simplify right side
    334,697.10x = 41,156,787,395.82
  5. Step 5: Solve for x
    x = 41,156,787,395.82/334,697.10
  6. Step 6: Final answer
    x = 122,967.27

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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.