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Finding the Fourth Proportional to 403,593.12, 605,107.80 and 178,831.50

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Solution

The fourth proportional to 403,593.12, 605,107.80 and 178,831.50 is: 268,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,593.12 : 605,107.80 = 178,831.50 : x
  2. Step 2: Convert to fraction form
    403,593.12/605,107.80 = 178,831.50/x
  3. Step 3: Cross multiply
    403,593.12x = 605,107.80 × 178,831.50
  4. Step 4: Simplify right side
    403,593.12x = 108,212,335,535.70
  5. Step 5: Solve for x
    x = 108,212,335,535.70/403,593.12
  6. Step 6: Final answer
    x = 268,122.35

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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.