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Finding the Fourth Proportional to 315,052.82, 434,527.17 and 201,886.10

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Solution

The fourth proportional to 315,052.82, 434,527.17 and 201,886.10 is: 278,445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,052.82 : 434,527.17 = 201,886.10 : x
  2. Step 2: Convert to fraction form
    315,052.82/434,527.17 = 201,886.10/x
  3. Step 3: Cross multiply
    315,052.82x = 434,527.17 × 201,886.10
  4. Step 4: Simplify right side
    315,052.82x = 87,724,995,695.34
  5. Step 5: Solve for x
    x = 87,724,995,695.34/315,052.82
  6. Step 6: Final answer
    x = 278,445.36

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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.