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Finding the Fourth Proportional to 409,889.38, 565,876.01 and 287,756.54

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Solution

The fourth proportional to 409,889.38, 565,876.01 and 287,756.54 is: 397,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,889.38 : 565,876.01 = 287,756.54 : x
  2. Step 2: Convert to fraction form
    409,889.38/565,876.01 = 287,756.54/x
  3. Step 3: Cross multiply
    409,889.38x = 565,876.01 × 287,756.54
  4. Step 4: Simplify right side
    409,889.38x = 162,834,521,973.48
  5. Step 5: Solve for x
    x = 162,834,521,973.48/409,889.38
  6. Step 6: Final answer
    x = 397,264.55

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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.