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Finding the Fourth Proportional to 523,261,454.91, 721,873,911.90 and 311,449,518.03

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Solution

The fourth proportional to 523,261,454.91, 721,873,911.90 and 311,449,518.03 is: 429,665,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,261,454.91 : 721,873,911.90 = 311,449,518.03 : x
  2. Step 2: Convert to fraction form
    523,261,454.91/721,873,911.90 = 311,449,518.03/x
  3. Step 3: Cross multiply
    523,261,454.91x = 721,873,911.90 × 311,449,518.03
  4. Step 4: Simplify right side
    523,261,454.91x = 224,827,281,939,499,584
  5. Step 5: Solve for x
    x = 224,827,281,939,499,584/523,261,454.91
  6. Step 6: Final answer
    x = 429,665,284.59

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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.