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Finding the Fourth Proportional to 409,717.95, 565,209.80 and 273,785.27

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Solution

The fourth proportional to 409,717.95, 565,209.80 and 273,785.27 is: 377,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,717.95 : 565,209.80 = 273,785.27 : x
  2. Step 2: Convert to fraction form
    409,717.95/565,209.80 = 273,785.27/x
  3. Step 3: Cross multiply
    409,717.95x = 565,209.80 × 273,785.27
  4. Step 4: Simplify right side
    409,717.95x = 154,746,114,531.37
  5. Step 5: Solve for x
    x = 154,746,114,531.37/409,717.95
  6. Step 6: Final answer
    x = 377,689.37

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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.