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Finding the Fourth Proportional to 514,649.70, 771,974.55 and 140,672.70

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Solution

The fourth proportional to 514,649.70, 771,974.55 and 140,672.70 is: 211,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,649.70 : 771,974.55 = 140,672.70 : x
  2. Step 2: Convert to fraction form
    514,649.70/771,974.55 = 140,672.70/x
  3. Step 3: Cross multiply
    514,649.70x = 771,974.55 × 140,672.70
  4. Step 4: Simplify right side
    514,649.70x = 108,595,744,279.79
  5. Step 5: Solve for x
    x = 108,595,744,279.79/514,649.70
  6. Step 6: Final answer
    x = 211,009.05

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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.