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Finding the Fourth Proportional to 312,358.86, 468,534.13 and 75,703.59

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Solution

The fourth proportional to 312,358.86, 468,534.13 and 75,703.59 is: 113,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,358.86 : 468,534.13 = 75,703.59 : x
  2. Step 2: Convert to fraction form
    312,358.86/468,534.13 = 75,703.59/x
  3. Step 3: Cross multiply
    312,358.86x = 468,534.13 × 75,703.59
  4. Step 4: Simplify right side
    312,358.86x = 35,469,715,678.53
  5. Step 5: Solve for x
    x = 35,469,715,678.53/312,358.86
  6. Step 6: Final answer
    x = 113,554.38

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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.