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Finding the Fourth Proportional to 283,209.62, 390,832.45 and 154,148.88

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Solution

The fourth proportional to 283,209.62, 390,832.45 and 154,148.88 is: 212,727.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,209.62 : 390,832.45 = 154,148.88 : x
  2. Step 2: Convert to fraction form
    283,209.62/390,832.45 = 154,148.88/x
  3. Step 3: Cross multiply
    283,209.62x = 390,832.45 × 154,148.88
  4. Step 4: Simplify right side
    283,209.62x = 60,246,384,049.78
  5. Step 5: Solve for x
    x = 60,246,384,049.78/283,209.62
  6. Step 6: Final answer
    x = 212,727.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.