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Finding the Fourth Proportional to 265,969,882.60, 399,253,422.30 and 205,653,005.80

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Solution

The fourth proportional to 265,969,882.60, 399,253,422.30 and 205,653,005.80 is: 308,710,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,969,882.60 : 399,253,422.30 = 205,653,005.80 : x
  2. Step 2: Convert to fraction form
    265,969,882.60/399,253,422.30 = 205,653,005.80/x
  3. Step 3: Cross multiply
    265,969,882.60x = 399,253,422.30 × 205,653,005.80
  4. Step 4: Simplify right side
    265,969,882.60x = 82,107,666,371,931,760
  5. Step 5: Solve for x
    x = 82,107,666,371,931,760/265,969,882.60
  6. Step 6: Final answer
    x = 308,710,390.70

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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.