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Finding the Fourth Proportional to 272,485.52, 408,355.68 and 205,871.12

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Solution

The fourth proportional to 272,485.52, 408,355.68 and 205,871.12 is: 308,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,485.52 : 408,355.68 = 205,871.12 : x
  2. Step 2: Convert to fraction form
    272,485.52/408,355.68 = 205,871.12/x
  3. Step 3: Cross multiply
    272,485.52x = 408,355.68 × 205,871.12
  4. Step 4: Simplify right side
    272,485.52x = 84,068,641,199.96
  5. Step 5: Solve for x
    x = 84,068,641,199.96/272,485.52
  6. Step 6: Final answer
    x = 308,525.17

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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.