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Finding the Fourth Proportional to 418,494.95, 577,498.50 and 227,506.67

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Solution

The fourth proportional to 418,494.95, 577,498.50 and 227,506.67 is: 313,945.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,494.95 : 577,498.50 = 227,506.67 : x
  2. Step 2: Convert to fraction form
    418,494.95/577,498.50 = 227,506.67/x
  3. Step 3: Cross multiply
    418,494.95x = 577,498.50 × 227,506.67
  4. Step 4: Simplify right side
    418,494.95x = 131,384,757,777.50
  5. Step 5: Solve for x
    x = 131,384,757,777.50/418,494.95
  6. Step 6: Final answer
    x = 313,945.87

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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.