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Finding the Fourth Proportional to 310,911.80, 466,367.70 and 86,271.80

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Solution

The fourth proportional to 310,911.80, 466,367.70 and 86,271.80 is: 129,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,911.80 : 466,367.70 = 86,271.80 : x
  2. Step 2: Convert to fraction form
    310,911.80/466,367.70 = 86,271.80/x
  3. Step 3: Cross multiply
    310,911.80x = 466,367.70 × 86,271.80
  4. Step 4: Simplify right side
    310,911.80x = 40,234,380,940.86
  5. Step 5: Solve for x
    x = 40,234,380,940.86/310,911.80
  6. Step 6: Final answer
    x = 129,407.70

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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.