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Finding the Fourth Proportional to 268,902.60, 402,479.10 and 209,416.20

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Solution

The fourth proportional to 268,902.60, 402,479.10 and 209,416.20 is: 313,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,902.60 : 402,479.10 = 209,416.20 : x
  2. Step 2: Convert to fraction form
    268,902.60/402,479.10 = 209,416.20/x
  3. Step 3: Cross multiply
    268,902.60x = 402,479.10 × 209,416.20
  4. Step 4: Simplify right side
    268,902.60x = 84,285,643,701.42
  5. Step 5: Solve for x
    x = 84,285,643,701.42/268,902.60
  6. Step 6: Final answer
    x = 313,443.02

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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.