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Finding the Fourth Proportional to 472,344,298.38, 651,964,780.80 and 274,169,638.80

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Solution

The fourth proportional to 472,344,298.38, 651,964,780.80 and 274,169,638.80 is: 378,429,355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,344,298.38 : 651,964,780.80 = 274,169,638.80 : x
  2. Step 2: Convert to fraction form
    472,344,298.38/651,964,780.80 = 274,169,638.80/x
  3. Step 3: Cross multiply
    472,344,298.38x = 651,964,780.80 × 274,169,638.80
  4. Step 4: Simplify right side
    472,344,298.38x = 178,748,948,462,257,184
  5. Step 5: Solve for x
    x = 178,748,948,462,257,184/472,344,298.38
  6. Step 6: Final answer
    x = 378,429,355.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.