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Finding the Fourth Proportional to 515,189.92, 772,470.60 and 230,828.08

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Solution

The fourth proportional to 515,189.92, 772,470.60 and 230,828.08 is: 346,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,189.92 : 772,470.60 = 230,828.08 : x
  2. Step 2: Convert to fraction form
    515,189.92/772,470.60 = 230,828.08/x
  3. Step 3: Cross multiply
    515,189.92x = 772,470.60 × 230,828.08
  4. Step 4: Simplify right side
    515,189.92x = 178,307,905,454.45
  5. Step 5: Solve for x
    x = 178,307,905,454.45/515,189.92
  6. Step 6: Final answer
    x = 346,101.31

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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.