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Finding the Fourth Proportional to 310,301.08, 465,442.32 and 85,675.24

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Solution

The fourth proportional to 310,301.08, 465,442.32 and 85,675.24 is: 128,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,301.08 : 465,442.32 = 85,675.24 : x
  2. Step 2: Convert to fraction form
    310,301.08/465,442.32 = 85,675.24/x
  3. Step 3: Cross multiply
    310,301.08x = 465,442.32 × 85,675.24
  4. Step 4: Simplify right side
    310,301.08x = 39,876,882,472.16
  5. Step 5: Solve for x
    x = 39,876,882,472.16/310,301.08
  6. Step 6: Final answer
    x = 128,510.29

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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.