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Finding the Fourth Proportional to 310,587.24, 465,891.21 and 85,928.85

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Solution

The fourth proportional to 310,587.24, 465,891.21 and 85,928.85 is: 128,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,587.24 : 465,891.21 = 85,928.85 : x
  2. Step 2: Convert to fraction form
    310,587.24/465,891.21 = 85,928.85/x
  3. Step 3: Cross multiply
    310,587.24x = 465,891.21 × 85,928.85
  4. Step 4: Simplify right side
    310,587.24x = 40,033,495,900.41
  5. Step 5: Solve for x
    x = 40,033,495,900.41/310,587.24
  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.