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Finding the Fourth Proportional to 285,061.20, 428,513.40 and 262,942.80

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Solution

The fourth proportional to 285,061.20, 428,513.40 and 262,942.80 is: 395,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,061.20 : 428,513.40 = 262,942.80 : x
  2. Step 2: Convert to fraction form
    285,061.20/428,513.40 = 262,942.80/x
  3. Step 3: Cross multiply
    285,061.20x = 428,513.40 × 262,942.80
  4. Step 4: Simplify right side
    285,061.20x = 112,674,513,233.52
  5. Step 5: Solve for x
    x = 112,674,513,233.52/285,061.20
  6. Step 6: Final answer
    x = 395,264.29

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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.