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Finding the Fourth Proportional to 310,911.93, 466,315.72 and 86,295.18

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Solution

The fourth proportional to 310,911.93, 466,315.72 and 86,295.18 is: 129,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,911.93 : 466,315.72 = 86,295.18 : x
  2. Step 2: Convert to fraction form
    310,911.93/466,315.72 = 86,295.18/x
  3. Step 3: Cross multiply
    310,911.93x = 466,315.72 × 86,295.18
  4. Step 4: Simplify right side
    310,911.93x = 40,240,800,850.78
  5. Step 5: Solve for x
    x = 40,240,800,850.78/310,911.93
  6. Step 6: Final answer
    x = 129,428.29

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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.