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Finding the Fourth Proportional to 317,228.40, 437,545.80 and 269,406

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Solution

The fourth proportional to 317,228.40, 437,545.80 and 269,406 is: 371,585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,228.40 : 437,545.80 = 269,406 : x
  2. Step 2: Convert to fraction form
    317,228.40/437,545.80 = 269,406/x
  3. Step 3: Cross multiply
    317,228.40x = 437,545.80 × 269,406
  4. Step 4: Simplify right side
    317,228.40x = 117,877,463,794.80
  5. Step 5: Solve for x
    x = 117,877,463,794.80/317,228.40
  6. Step 6: Final answer
    x = 371,585.47

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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.