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Finding the Fourth Proportional to 310,784.46, 466,180.14 and 86,146.84

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Solution

The fourth proportional to 310,784.46, 466,180.14 and 86,146.84 is: 129,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,784.46 : 466,180.14 = 86,146.84 : x
  2. Step 2: Convert to fraction form
    310,784.46/466,180.14 = 86,146.84/x
  3. Step 3: Cross multiply
    310,784.46x = 466,180.14 × 86,146.84
  4. Step 4: Simplify right side
    310,784.46x = 40,159,943,730.69
  5. Step 5: Solve for x
    x = 40,159,943,730.69/310,784.46
  6. Step 6: Final answer
    x = 129,221.21

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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.