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Finding the Fourth Proportional to 310,587.20, 465,891.20 and 85,928.84

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Solution

The fourth proportional to 310,587.20, 465,891.20 and 85,928.84 is: 128,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,587.20 : 465,891.20 = 85,928.84 : x
  2. Step 2: Convert to fraction form
    310,587.20/465,891.20 = 85,928.84/x
  3. Step 3: Cross multiply
    310,587.20x = 465,891.20 × 85,928.84
  4. Step 4: Simplify right side
    310,587.20x = 40,033,490,382.21
  5. Step 5: Solve for x
    x = 40,033,490,382.21/310,587.20
  6. Step 6: Final answer
    x = 128,896.14

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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.