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Finding the Fourth Proportional to 386,999.88, 580,724 and 162,340.24

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Solution

The fourth proportional to 386,999.88, 580,724 and 162,340.24 is: 243,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,999.88 : 580,724 = 162,340.24 : x
  2. Step 2: Convert to fraction form
    386,999.88/580,724 = 162,340.24/x
  3. Step 3: Cross multiply
    386,999.88x = 580,724 × 162,340.24
  4. Step 4: Simplify right side
    386,999.88x = 94,274,873,533.76
  5. Step 5: Solve for x
    x = 94,274,873,533.76/386,999.88
  6. Step 6: Final answer
    x = 243,604.40

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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.