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Finding the Fourth Proportional to 402,351.40, 603,656.70 and 269,381.80

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Solution

The fourth proportional to 402,351.40, 603,656.70 and 269,381.80 is: 404,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,351.40 : 603,656.70 = 269,381.80 : x
  2. Step 2: Convert to fraction form
    402,351.40/603,656.70 = 269,381.80/x
  3. Step 3: Cross multiply
    402,351.40x = 603,656.70 × 269,381.80
  4. Step 4: Simplify right side
    402,351.40x = 162,614,128,428.06
  5. Step 5: Solve for x
    x = 162,614,128,428.06/402,351.40
  6. Step 6: Final answer
    x = 404,159.47

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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.