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Finding the Fourth Proportional to 342,831.76, 472,950.72 and 222,012

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Solution

The fourth proportional to 342,831.76, 472,950.72 and 222,012 is: 306,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,831.76 : 472,950.72 = 222,012 : x
  2. Step 2: Convert to fraction form
    342,831.76/472,950.72 = 222,012/x
  3. Step 3: Cross multiply
    342,831.76x = 472,950.72 × 222,012
  4. Step 4: Simplify right side
    342,831.76x = 105,000,735,248.64
  5. Step 5: Solve for x
    x = 105,000,735,248.64/342,831.76
  6. Step 6: Final answer
    x = 306,274.82

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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.