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Finding the Fourth Proportional to 314,930,712.80, 472,396,069.20 and 300,581,805.80

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Solution

The fourth proportional to 314,930,712.80, 472,396,069.20 and 300,581,805.80 is: 450,872,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,930,712.80 : 472,396,069.20 = 300,581,805.80 : x
  2. Step 2: Convert to fraction form
    314,930,712.80/472,396,069.20 = 300,581,805.80/x
  3. Step 3: Cross multiply
    314,930,712.80x = 472,396,069.20 × 300,581,805.80
  4. Step 4: Simplify right side
    314,930,712.80x = 141,993,663,532,957,760
  5. Step 5: Solve for x
    x = 141,993,663,532,957,760/314,930,712.80
  6. Step 6: Final answer
    x = 450,872,708.70

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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.