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Finding the Fourth Proportional to 310,852.89, 466,279.30 and 86,213.32

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Solution

The fourth proportional to 310,852.89, 466,279.30 and 86,213.32 is: 129,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,852.89 : 466,279.30 = 86,213.32 : x
  2. Step 2: Convert to fraction form
    310,852.89/466,279.30 = 86,213.32/x
  3. Step 3: Cross multiply
    310,852.89x = 466,279.30 × 86,213.32
  4. Step 4: Simplify right side
    310,852.89x = 40,199,486,500.28
  5. Step 5: Solve for x
    x = 40,199,486,500.28/310,852.89
  6. Step 6: Final answer
    x = 129,319.97

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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.