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Finding the Fourth Proportional to 418,434.96, 577,436.94 and 227,443.44

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Solution

The fourth proportional to 418,434.96, 577,436.94 and 227,443.44 is: 313,870.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,434.96 : 577,436.94 = 227,443.44 : x
  2. Step 2: Convert to fraction form
    418,434.96/577,436.94 = 227,443.44/x
  3. Step 3: Cross multiply
    418,434.96x = 577,436.94 × 227,443.44
  4. Step 4: Simplify right side
    418,434.96x = 131,334,244,016.67
  5. Step 5: Solve for x
    x = 131,334,244,016.67/418,434.96
  6. Step 6: Final answer
    x = 313,870.15

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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.