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Finding the Fourth Proportional to 442,610,992.80, 663,349,618.80 and 339,865,732.80

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Solution

The fourth proportional to 442,610,992.80, 663,349,618.80 and 339,865,732.80 is: 509,363,318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,610,992.80 : 663,349,618.80 = 339,865,732.80 : x
  2. Step 2: Convert to fraction form
    442,610,992.80/663,349,618.80 = 339,865,732.80/x
  3. Step 3: Cross multiply
    442,610,992.80x = 663,349,618.80 × 339,865,732.80
  4. Step 4: Simplify right side
    442,610,992.80x = 225,449,804,296,062,656
  5. Step 5: Solve for x
    x = 225,449,804,296,062,656/442,610,992.80
  6. Step 6: Final answer
    x = 509,363,318.95

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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.