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Finding the Fourth Proportional to 472,392,713.80, 708,589,070.70 and 288,726,704.20

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Solution

The fourth proportional to 472,392,713.80, 708,589,070.70 and 288,726,704.20 is: 433,090,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,713.80 : 708,589,070.70 = 288,726,704.20 : x
  2. Step 2: Convert to fraction form
    472,392,713.80/708,589,070.70 = 288,726,704.20/x
  3. Step 3: Cross multiply
    472,392,713.80x = 708,589,070.70 × 288,726,704.20
  4. Step 4: Simplify right side
    472,392,713.80x = 204,588,587,015,351,808
  5. Step 5: Solve for x
    x = 204,588,587,015,351,808/472,392,713.80
  6. Step 6: Final answer
    x = 433,090,056.30

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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.