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Finding the Fourth Proportional to 268,278.40, 402,271.80 and 110,522.80

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Solution

The fourth proportional to 268,278.40, 402,271.80 and 110,522.80 is: 165,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,278.40 : 402,271.80 = 110,522.80 : x
  2. Step 2: Convert to fraction form
    268,278.40/402,271.80 = 110,522.80/x
  3. Step 3: Cross multiply
    268,278.40x = 402,271.80 × 110,522.80
  4. Step 4: Simplify right side
    268,278.40x = 44,460,205,697.04
  5. Step 5: Solve for x
    x = 44,460,205,697.04/268,278.40
  6. Step 6: Final answer
    x = 165,724.13

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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.