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Finding the Fourth Proportional to 370,658, 511,505.16 and 200,887.76

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Solution

The fourth proportional to 370,658, 511,505.16 and 200,887.76 is: 277,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,658 : 511,505.16 = 200,887.76 : x
  2. Step 2: Convert to fraction form
    370,658/511,505.16 = 200,887.76/x
  3. Step 3: Cross multiply
    370,658x = 511,505.16 × 200,887.76
  4. Step 4: Simplify right side
    370,658x = 102,755,125,820.84
  5. Step 5: Solve for x
    x = 102,755,125,820.84/370,658
  6. Step 6: Final answer
    x = 277,223.55

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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.