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Finding the Fourth Proportional to 261,419, 392,128.50 and 64,427

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Solution

The fourth proportional to 261,419, 392,128.50 and 64,427 is: 96,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,419 : 392,128.50 = 64,427 : x
  2. Step 2: Convert to fraction form
    261,419/392,128.50 = 64,427/x
  3. Step 3: Cross multiply
    261,419x = 392,128.50 × 64,427
  4. Step 4: Simplify right side
    261,419x = 25,263,662,869.50
  5. Step 5: Solve for x
    x = 25,263,662,869.50/261,419
  6. Step 6: Final answer
    x = 96,640.50

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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.