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Finding the Fourth Proportional to 269,006.94, 402,985.47 and 209,564.28

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Solution

The fourth proportional to 269,006.94, 402,985.47 and 209,564.28 is: 313,937.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,006.94 : 402,985.47 = 209,564.28 : x
  2. Step 2: Convert to fraction form
    269,006.94/402,985.47 = 209,564.28/x
  3. Step 3: Cross multiply
    269,006.94x = 402,985.47 × 209,564.28
  4. Step 4: Simplify right side
    269,006.94x = 84,451,359,871.01
  5. Step 5: Solve for x
    x = 84,451,359,871.01/269,006.94
  6. Step 6: Final answer
    x = 313,937.48

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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.