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Finding the Fourth Proportional to 315,015.95, 434,528.74 and 201,641.87

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Solution

The fourth proportional to 315,015.95, 434,528.74 and 201,641.87 is: 278,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,015.95 : 434,528.74 = 201,641.87 : x
  2. Step 2: Convert to fraction form
    315,015.95/434,528.74 = 201,641.87/x
  3. Step 3: Cross multiply
    315,015.95x = 434,528.74 × 201,641.87
  4. Step 4: Simplify right side
    315,015.95x = 87,619,187,702.34
  5. Step 5: Solve for x
    x = 87,619,187,702.34/315,015.95
  6. Step 6: Final answer
    x = 278,142.07

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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.