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Finding the Fourth Proportional to 402,507.72, 555,473.97 and 221,226.12

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Solution

The fourth proportional to 402,507.72, 555,473.97 and 221,226.12 is: 305,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,507.72 : 555,473.97 = 221,226.12 : x
  2. Step 2: Convert to fraction form
    402,507.72/555,473.97 = 221,226.12/x
  3. Step 3: Cross multiply
    402,507.72x = 555,473.97 × 221,226.12
  4. Step 4: Simplify right side
    402,507.72x = 122,885,351,144.10
  5. Step 5: Solve for x
    x = 122,885,351,144.10/402,507.72
  6. Step 6: Final answer
    x = 305,299.36

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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.