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Finding the Fourth Proportional to 310,852.22, 466,278.29 and 86,212.64

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Solution

The fourth proportional to 310,852.22, 466,278.29 and 86,212.64 is: 129,318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,852.22 : 466,278.29 = 86,212.64 : x
  2. Step 2: Convert to fraction form
    310,852.22/466,278.29 = 86,212.64/x
  3. Step 3: Cross multiply
    310,852.22x = 466,278.29 × 86,212.64
  4. Step 4: Simplify right side
    310,852.22x = 40,199,082,939.67
  5. Step 5: Solve for x
    x = 40,199,082,939.67/310,852.22
  6. Step 6: Final answer
    x = 129,318.95

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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.