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Finding the Fourth Proportional to 472,392,714.80, 708,589,072.20 and 288,726,705.20

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Solution

The fourth proportional to 472,392,714.80, 708,589,072.20 and 288,726,705.20 is: 433,090,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,714.80 : 708,589,072.20 = 288,726,705.20 : x
  2. Step 2: Convert to fraction form
    472,392,714.80/708,589,072.20 = 288,726,705.20/x
  3. Step 3: Cross multiply
    472,392,714.80x = 708,589,072.20 × 288,726,705.20
  4. Step 4: Simplify right side
    472,392,714.80x = 204,588,588,157,030,912
  5. Step 5: Solve for x
    x = 204,588,588,157,030,912/472,392,714.80
  6. Step 6: Final answer
    x = 433,090,057.80

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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.