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Finding the Fourth Proportional to 312,133.50, 468,278.01 and 90,517.50

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Solution

The fourth proportional to 312,133.50, 468,278.01 and 90,517.50 is: 135,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,133.50 : 468,278.01 = 90,517.50 : x
  2. Step 2: Convert to fraction form
    312,133.50/468,278.01 = 90,517.50/x
  3. Step 3: Cross multiply
    312,133.50x = 468,278.01 × 90,517.50
  4. Step 4: Simplify right side
    312,133.50x = 42,387,354,770.18
  5. Step 5: Solve for x
    x = 42,387,354,770.18/312,133.50
  6. Step 6: Final answer
    x = 135,798.80

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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.