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Finding the Fourth Proportional to 472,392,507.80, 708,588,761.70 and 165,715,621.40

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Solution

The fourth proportional to 472,392,507.80, 708,588,761.70 and 165,715,621.40 is: 248,573,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,507.80 : 708,588,761.70 = 165,715,621.40 : x
  2. Step 2: Convert to fraction form
    472,392,507.80/708,588,761.70 = 165,715,621.40/x
  3. Step 3: Cross multiply
    472,392,507.80x = 708,588,761.70 × 165,715,621.40
  4. Step 4: Simplify right side
    472,392,507.80x = 117,424,226,962,172,032
  5. Step 5: Solve for x
    x = 117,424,226,962,172,032/472,392,507.80
  6. Step 6: Final answer
    x = 248,573,432.10

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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.