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Finding the Fourth Proportional to 268,605.60, 402,422.40 and 212,812.80

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Solution

The fourth proportional to 268,605.60, 402,422.40 and 212,812.80 is: 318,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,605.60 : 402,422.40 = 212,812.80 : x
  2. Step 2: Convert to fraction form
    268,605.60/402,422.40 = 212,812.80/x
  3. Step 3: Cross multiply
    268,605.60x = 402,422.40 × 212,812.80
  4. Step 4: Simplify right side
    268,605.60x = 85,640,637,726.72
  5. Step 5: Solve for x
    x = 85,640,637,726.72/268,605.60
  6. Step 6: Final answer
    x = 318,834.15

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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.