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Finding the Fourth Proportional to 315,799.52, 474,036.48 and 135,974

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Solution

The fourth proportional to 315,799.52, 474,036.48 and 135,974 is: 204,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,799.52 : 474,036.48 = 135,974 : x
  2. Step 2: Convert to fraction form
    315,799.52/474,036.48 = 135,974/x
  3. Step 3: Cross multiply
    315,799.52x = 474,036.48 × 135,974
  4. Step 4: Simplify right side
    315,799.52x = 64,456,636,331.52
  5. Step 5: Solve for x
    x = 64,456,636,331.52/315,799.52
  6. Step 6: Final answer
    x = 204,106.19

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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.