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Finding the Fourth Proportional to 398,096,699.23, 549,375,994.50 and 221,895,866.52

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Solution

The fourth proportional to 398,096,699.23, 549,375,994.50 and 221,895,866.52 is: 306,217,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,096,699.23 : 549,375,994.50 = 221,895,866.52 : x
  2. Step 2: Convert to fraction form
    398,096,699.23/549,375,994.50 = 221,895,866.52/x
  3. Step 3: Cross multiply
    398,096,699.23x = 549,375,994.50 × 221,895,866.52
  4. Step 4: Simplify right side
    398,096,699.23x = 121,904,262,344,864,256
  5. Step 5: Solve for x
    x = 121,904,262,344,864,256/398,096,699.23
  6. Step 6: Final answer
    x = 306,217,716.90

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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.