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Finding the Fourth Proportional to 310,256.88, 428,143.08 and 189,600.08

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Solution

The fourth proportional to 310,256.88, 428,143.08 and 189,600.08 is: 261,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,256.88 : 428,143.08 = 189,600.08 : x
  2. Step 2: Convert to fraction form
    310,256.88/428,143.08 = 189,600.08/x
  3. Step 3: Cross multiply
    310,256.88x = 428,143.08 × 189,600.08
  4. Step 4: Simplify right side
    310,256.88x = 81,175,962,219.45
  5. Step 5: Solve for x
    x = 81,175,962,219.45/310,256.88
  6. Step 6: Final answer
    x = 261,641.13

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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.