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Finding the Fourth Proportional to 371,490.32, 512,648.52 and 201,722.96

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Solution

The fourth proportional to 371,490.32, 512,648.52 and 201,722.96 is: 278,373.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,490.32 : 512,648.52 = 201,722.96 : x
  2. Step 2: Convert to fraction form
    371,490.32/512,648.52 = 201,722.96/x
  3. Step 3: Cross multiply
    371,490.32x = 512,648.52 × 201,722.96
  4. Step 4: Simplify right side
    371,490.32x = 103,412,976,894.02
  5. Step 5: Solve for x
    x = 103,412,976,894.02/371,490.32
  6. Step 6: Final answer
    x = 278,373.27

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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.