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Finding the Fourth Proportional to 311,597.50, 467,348.86 and 86,934.28

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Solution

The fourth proportional to 311,597.50, 467,348.86 and 86,934.28 is: 130,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,597.50 : 467,348.86 = 86,934.28 : x
  2. Step 2: Convert to fraction form
    311,597.50/467,348.86 = 86,934.28/x
  3. Step 3: Cross multiply
    311,597.50x = 467,348.86 × 86,934.28
  4. Step 4: Simplify right side
    311,597.50x = 40,628,636,652.92
  5. Step 5: Solve for x
    x = 40,628,636,652.92/311,597.50
  6. Step 6: Final answer
    x = 130,388.20

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1.5x scale

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.