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Finding the Fourth Proportional to 268,135.70, 402,197.40 and 134,980.20

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Solution

The fourth proportional to 268,135.70, 402,197.40 and 134,980.20 is: 202,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,135.70 : 402,197.40 = 134,980.20 : x
  2. Step 2: Convert to fraction form
    268,135.70/402,197.40 = 134,980.20/x
  3. Step 3: Cross multiply
    268,135.70x = 402,197.40 × 134,980.20
  4. Step 4: Simplify right side
    268,135.70x = 54,288,685,491.48
  5. Step 5: Solve for x
    x = 54,288,685,491.48/268,135.70
  6. Step 6: Final answer
    x = 202,467.21

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1.5x scale

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.