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Finding the Fourth Proportional to 418,000.34, 576,843.85 and 227,015.10

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Solution

The fourth proportional to 418,000.34, 576,843.85 and 227,015.10 is: 313,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,000.34 : 576,843.85 = 227,015.10 : x
  2. Step 2: Convert to fraction form
    418,000.34/576,843.85 = 227,015.10/x
  3. Step 3: Cross multiply
    418,000.34x = 576,843.85 × 227,015.10
  4. Step 4: Simplify right side
    418,000.34x = 130,952,264,292.14
  5. Step 5: Solve for x
    x = 130,952,264,292.14/418,000.34
  6. Step 6: Final answer
    x = 313,282.67

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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.