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Finding the Fourth Proportional to 341,256.80, 511,885.20 and 288,112.70

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Solution

The fourth proportional to 341,256.80, 511,885.20 and 288,112.70 is: 432,169.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,256.80 : 511,885.20 = 288,112.70 : x
  2. Step 2: Convert to fraction form
    341,256.80/511,885.20 = 288,112.70/x
  3. Step 3: Cross multiply
    341,256.80x = 511,885.20 × 288,112.70
  4. Step 4: Simplify right side
    341,256.80x = 147,480,627,062.04
  5. Step 5: Solve for x
    x = 147,480,627,062.04/341,256.80
  6. Step 6: Final answer
    x = 432,169.05

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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.