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Finding the Fourth Proportional to 471,921.90, 707,882.85 and 440,429.10

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Solution

The fourth proportional to 471,921.90, 707,882.85 and 440,429.10 is: 660,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,921.90 : 707,882.85 = 440,429.10 : x
  2. Step 2: Convert to fraction form
    471,921.90/707,882.85 = 440,429.10/x
  3. Step 3: Cross multiply
    471,921.90x = 707,882.85 × 440,429.10
  4. Step 4: Simplify right side
    471,921.90x = 311,772,206,530.94
  5. Step 5: Solve for x
    x = 311,772,206,530.94/471,921.90
  6. Step 6: Final answer
    x = 660,643.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.