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Finding the Fourth Proportional to 310,442.70, 465,664.05 and 100,101.90

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Solution

The fourth proportional to 310,442.70, 465,664.05 and 100,101.90 is: 150,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,442.70 : 465,664.05 = 100,101.90 : x
  2. Step 2: Convert to fraction form
    310,442.70/465,664.05 = 100,101.90/x
  3. Step 3: Cross multiply
    310,442.70x = 465,664.05 × 100,101.90
  4. Step 4: Simplify right side
    310,442.70x = 46,613,856,166.70
  5. Step 5: Solve for x
    x = 46,613,856,166.70/310,442.70
  6. Step 6: Final answer
    x = 150,152.85

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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.