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Finding the Fourth Proportional to 515,002.14, 772,486.79 and 159,920.82

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Solution

The fourth proportional to 515,002.14, 772,486.79 and 159,920.82 is: 239,876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,002.14 : 772,486.79 = 159,920.82 : x
  2. Step 2: Convert to fraction form
    515,002.14/772,486.79 = 159,920.82/x
  3. Step 3: Cross multiply
    515,002.14x = 772,486.79 × 159,920.82
  4. Step 4: Simplify right side
    515,002.14x = 123,536,720,096.36
  5. Step 5: Solve for x
    x = 123,536,720,096.36/515,002.14
  6. Step 6: Final answer
    x = 239,876.13

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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.