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Finding the Fourth Proportional to 312,357.86, 468,532.63 and 75,702.59

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Solution

The fourth proportional to 312,357.86, 468,532.63 and 75,702.59 is: 113,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,357.86 : 468,532.63 = 75,702.59 : x
  2. Step 2: Convert to fraction form
    312,357.86/468,532.63 = 75,702.59/x
  3. Step 3: Cross multiply
    312,357.86x = 468,532.63 × 75,702.59
  4. Step 4: Simplify right side
    312,357.86x = 35,469,133,590.51
  5. Step 5: Solve for x
    x = 35,469,133,590.51/312,357.86
  6. Step 6: Final answer
    x = 113,552.88

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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.