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Finding the Fourth Proportional to 515,444.92, 772,856.68 and 231,084

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Solution

The fourth proportional to 515,444.92, 772,856.68 and 231,084 is: 346,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,444.92 : 772,856.68 = 231,084 : x
  2. Step 2: Convert to fraction form
    515,444.92/772,856.68 = 231,084/x
  3. Step 3: Cross multiply
    515,444.92x = 772,856.68 × 231,084
  4. Step 4: Simplify right side
    515,444.92x = 178,594,813,041.12
  5. Step 5: Solve for x
    x = 178,594,813,041.12/515,444.92
  6. Step 6: Final answer
    x = 346,486.71

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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.