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Finding the Fourth Proportional to 370,492, 511,275.80 and 200,725.76

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Solution

The fourth proportional to 370,492, 511,275.80 and 200,725.76 is: 276,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,492 : 511,275.80 = 200,725.76 : x
  2. Step 2: Convert to fraction form
    370,492/511,275.80 = 200,725.76/x
  3. Step 3: Cross multiply
    370,492x = 511,275.80 × 200,725.76
  4. Step 4: Simplify right side
    370,492x = 102,626,223,524.61
  5. Step 5: Solve for x
    x = 102,626,223,524.61/370,492
  6. Step 6: Final answer
    x = 276,999.84

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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.