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Finding the Fourth Proportional to 269,007.94, 402,986.97 and 209,565.28

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Solution

The fourth proportional to 269,007.94, 402,986.97 and 209,565.28 is: 313,938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,007.94 : 402,986.97 = 209,565.28 : x
  2. Step 2: Convert to fraction form
    269,007.94/402,986.97 = 209,565.28/x
  3. Step 3: Cross multiply
    269,007.94x = 402,986.97 × 209,565.28
  4. Step 4: Simplify right side
    269,007.94x = 84,452,077,204.40
  5. Step 5: Solve for x
    x = 84,452,077,204.40/269,007.94
  6. Step 6: Final answer
    x = 313,938.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.