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Finding the Fourth Proportional to 325,374.30, 488,268.81 and 138,385.50

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Solution

The fourth proportional to 325,374.30, 488,268.81 and 138,385.50 is: 207,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,374.30 : 488,268.81 = 138,385.50 : x
  2. Step 2: Convert to fraction form
    325,374.30/488,268.81 = 138,385.50/x
  3. Step 3: Cross multiply
    325,374.30x = 488,268.81 × 138,385.50
  4. Step 4: Simplify right side
    325,374.30x = 67,569,323,406.26
  5. Step 5: Solve for x
    x = 67,569,323,406.26/325,374.30
  6. Step 6: Final answer
    x = 207,666.44

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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.