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Finding the Fourth Proportional to 268,284.88, 402,440.76 and 102,085.84

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Solution

The fourth proportional to 268,284.88, 402,440.76 and 102,085.84 is: 153,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,284.88 : 402,440.76 = 102,085.84 : x
  2. Step 2: Convert to fraction form
    268,284.88/402,440.76 = 102,085.84/x
  3. Step 3: Cross multiply
    268,284.88x = 402,440.76 × 102,085.84
  4. Step 4: Simplify right side
    268,284.88x = 41,083,503,034.84
  5. Step 5: Solve for x
    x = 41,083,503,034.84/268,284.88
  6. Step 6: Final answer
    x = 153,133.87

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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.