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Finding the Fourth Proportional to 310,572.60, 465,902.10 and 133,078.20

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Solution

The fourth proportional to 310,572.60, 465,902.10 and 133,078.20 is: 199,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,572.60 : 465,902.10 = 133,078.20 : x
  2. Step 2: Convert to fraction form
    310,572.60/465,902.10 = 133,078.20/x
  3. Step 3: Cross multiply
    310,572.60x = 465,902.10 × 133,078.20
  4. Step 4: Simplify right side
    310,572.60x = 62,001,412,844.22
  5. Step 5: Solve for x
    x = 62,001,412,844.22/310,572.60
  6. Step 6: Final answer
    x = 199,635.81

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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.