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Finding the Fourth Proportional to 312,427.80, 468,641.70 and 75,770.10

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Solution

The fourth proportional to 312,427.80, 468,641.70 and 75,770.10 is: 113,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,427.80 : 468,641.70 = 75,770.10 : x
  2. Step 2: Convert to fraction form
    312,427.80/468,641.70 = 75,770.10/x
  3. Step 3: Cross multiply
    312,427.80x = 468,641.70 × 75,770.10
  4. Step 4: Simplify right side
    312,427.80x = 35,509,028,473.17
  5. Step 5: Solve for x
    x = 35,509,028,473.17/312,427.80
  6. Step 6: Final answer
    x = 113,655.15

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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.