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Finding the Fourth Proportional to 418,298.84, 577,251.96 and 227,311.84

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Solution

The fourth proportional to 418,298.84, 577,251.96 and 227,311.84 is: 313,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,298.84 : 577,251.96 = 227,311.84 : x
  2. Step 2: Convert to fraction form
    418,298.84/577,251.96 = 227,311.84/x
  3. Step 3: Cross multiply
    418,298.84x = 577,251.96 × 227,311.84
  4. Step 4: Simplify right side
    418,298.84x = 131,216,205,171.21
  5. Step 5: Solve for x
    x = 131,216,205,171.21/418,298.84
  6. Step 6: Final answer
    x = 313,690.10

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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.