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Finding the Fourth Proportional to 233,314.90, 349,713.15 and 128,209.30

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Solution

The fourth proportional to 233,314.90, 349,713.15 and 128,209.30 is: 192,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,314.90 : 349,713.15 = 128,209.30 : x
  2. Step 2: Convert to fraction form
    233,314.90/349,713.15 = 128,209.30/x
  3. Step 3: Cross multiply
    233,314.90x = 349,713.15 × 128,209.30
  4. Step 4: Simplify right side
    233,314.90x = 44,836,478,162.30
  5. Step 5: Solve for x
    x = 44,836,478,162.30/233,314.90
  6. Step 6: Final answer
    x = 192,171.52

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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.