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Finding the Fourth Proportional to 348,682.32, 522,945.72 and 138,263.76

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Solution

The fourth proportional to 348,682.32, 522,945.72 and 138,263.76 is: 207,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,682.32 : 522,945.72 = 138,263.76 : x
  2. Step 2: Convert to fraction form
    348,682.32/522,945.72 = 138,263.76/x
  3. Step 3: Cross multiply
    348,682.32x = 522,945.72 × 138,263.76
  4. Step 4: Simplify right side
    348,682.32x = 72,304,441,523.11
  5. Step 5: Solve for x
    x = 72,304,441,523.11/348,682.32
  6. Step 6: Final answer
    x = 207,364.81

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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.