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Finding the Fourth Proportional to 312,780.08, 468,807.14 and 143,945.91

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Solution

The fourth proportional to 312,780.08, 468,807.14 and 143,945.91 is: 215,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,780.08 : 468,807.14 = 143,945.91 : x
  2. Step 2: Convert to fraction form
    312,780.08/468,807.14 = 143,945.91/x
  3. Step 3: Cross multiply
    312,780.08x = 468,807.14 × 143,945.91
  4. Step 4: Simplify right side
    312,780.08x = 67,482,870,741.66
  5. Step 5: Solve for x
    x = 67,482,870,741.66/312,780.08
  6. Step 6: Final answer
    x = 215,751.82

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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.