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Finding the Fourth Proportional to 312,513.66, 468,770.72 and 75,856.56

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Solution

The fourth proportional to 312,513.66, 468,770.72 and 75,856.56 is: 113,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,513.66 : 468,770.72 = 75,856.56 : x
  2. Step 2: Convert to fraction form
    312,513.66/468,770.72 = 75,856.56/x
  3. Step 3: Cross multiply
    312,513.66x = 468,770.72 × 75,856.56
  4. Step 4: Simplify right side
    312,513.66x = 35,559,333,868.64
  5. Step 5: Solve for x
    x = 35,559,333,868.64/312,513.66
  6. Step 6: Final answer
    x = 113,784.89

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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.