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Finding the Fourth Proportional to 386,998.20, 580,497.30 and 102,688.20

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Solution

The fourth proportional to 386,998.20, 580,497.30 and 102,688.20 is: 154,032.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,998.20 : 580,497.30 = 102,688.20 : x
  2. Step 2: Convert to fraction form
    386,998.20/580,497.30 = 102,688.20/x
  3. Step 3: Cross multiply
    386,998.20x = 580,497.30 × 102,688.20
  4. Step 4: Simplify right side
    386,998.20x = 59,610,222,841.86
  5. Step 5: Solve for x
    x = 59,610,222,841.86/386,998.20
  6. Step 6: Final answer
    x = 154,032.30

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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.