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Finding the Fourth Proportional to 268,298.80, 402,302.40 and 90,714.40

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Solution

The fourth proportional to 268,298.80, 402,302.40 and 90,714.40 is: 136,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,298.80 : 402,302.40 = 90,714.40 : x
  2. Step 2: Convert to fraction form
    268,298.80/402,302.40 = 90,714.40/x
  3. Step 3: Cross multiply
    268,298.80x = 402,302.40 × 90,714.40
  4. Step 4: Simplify right side
    268,298.80x = 36,494,620,834.56
  5. Step 5: Solve for x
    x = 36,494,620,834.56/268,298.80
  6. Step 6: Final answer
    x = 136,022.30

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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.