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Finding the Fourth Proportional to 283,213.76, 390,831.84 and 155,886.56

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Solution

The fourth proportional to 283,213.76, 390,831.84 and 155,886.56 is: 215,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,213.76 : 390,831.84 = 155,886.56 : x
  2. Step 2: Convert to fraction form
    283,213.76/390,831.84 = 155,886.56/x
  3. Step 3: Cross multiply
    283,213.76x = 390,831.84 × 155,886.56
  4. Step 4: Simplify right side
    283,213.76x = 60,925,431,076.07
  5. Step 5: Solve for x
    x = 60,925,431,076.07/283,213.76
  6. Step 6: Final answer
    x = 215,121.72

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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.