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Finding the Fourth Proportional to 342,079.50, 472,084.29 and 191,176.50

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Solution

The fourth proportional to 342,079.50, 472,084.29 and 191,176.50 is: 263,831.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,079.50 : 472,084.29 = 191,176.50 : x
  2. Step 2: Convert to fraction form
    342,079.50/472,084.29 = 191,176.50/x
  3. Step 3: Cross multiply
    342,079.50x = 472,084.29 × 191,176.50
  4. Step 4: Simplify right side
    342,079.50x = 90,251,422,267.19
  5. Step 5: Solve for x
    x = 90,251,422,267.19/342,079.50
  6. Step 6: Final answer
    x = 263,831.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.