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Finding the Fourth Proportional to 314,930,708.80, 472,396,063.20 and 303,451,583.20

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Solution

The fourth proportional to 314,930,708.80, 472,396,063.20 and 303,451,583.20 is: 455,177,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,930,708.80 : 472,396,063.20 = 303,451,583.20 : x
  2. Step 2: Convert to fraction form
    314,930,708.80/472,396,063.20 = 303,451,583.20/x
  3. Step 3: Cross multiply
    314,930,708.80x = 472,396,063.20 × 303,451,583.20
  4. Step 4: Simplify right side
    314,930,708.80x = 143,349,333,275,487,248
  5. Step 5: Solve for x
    x = 143,349,333,275,487,248/314,930,708.80
  6. Step 6: Final answer
    x = 455,177,374.80

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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.