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Finding the Fourth Proportional to 310,310.79, 465,431.31 and 85,703.16

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Solution

The fourth proportional to 310,310.79, 465,431.31 and 85,703.16 is: 128,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,310.79 : 465,431.31 = 85,703.16 : x
  2. Step 2: Convert to fraction form
    310,310.79/465,431.31 = 85,703.16/x
  3. Step 3: Cross multiply
    310,310.79x = 465,431.31 × 85,703.16
  4. Step 4: Simplify right side
    310,310.79x = 39,888,934,029.94
  5. Step 5: Solve for x
    x = 39,888,934,029.94/310,310.79
  6. Step 6: Final answer
    x = 128,545.11

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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.