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Finding the Fourth Proportional to 312,139.80, 468,209.70 and 278,924.74

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Solution

The fourth proportional to 312,139.80, 468,209.70 and 278,924.74 is: 418,387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,139.80 : 468,209.70 = 278,924.74 : x
  2. Step 2: Convert to fraction form
    312,139.80/468,209.70 = 278,924.74/x
  3. Step 3: Cross multiply
    312,139.80x = 468,209.70 × 278,924.74
  4. Step 4: Simplify right side
    312,139.80x = 130,595,267,667.45
  5. Step 5: Solve for x
    x = 130,595,267,667.45/312,139.80
  6. Step 6: Final answer
    x = 418,387.11

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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.