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Finding the Fourth Proportional to 314,930,713.80, 472,396,070.70 and 277,942,420.20

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Solution

The fourth proportional to 314,930,713.80, 472,396,070.70 and 277,942,420.20 is: 416,913,630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,930,713.80 : 472,396,070.70 = 277,942,420.20 : x
  2. Step 2: Convert to fraction form
    314,930,713.80/472,396,070.70 = 277,942,420.20/x
  3. Step 3: Cross multiply
    314,930,713.80x = 472,396,070.70 × 277,942,420.20
  4. Step 4: Simplify right side
    314,930,713.80x = 131,298,907,183,328,304
  5. Step 5: Solve for x
    x = 131,298,907,183,328,304/314,930,713.80
  6. Step 6: Final answer
    x = 416,913,630.30

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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.