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Finding the Fourth Proportional to 471,028.88, 707,970.78 and 311,648.42

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Solution

The fourth proportional to 471,028.88, 707,970.78 and 311,648.42 is: 468,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,028.88 : 707,970.78 = 311,648.42 : x
  2. Step 2: Convert to fraction form
    471,028.88/707,970.78 = 311,648.42/x
  3. Step 3: Cross multiply
    471,028.88x = 707,970.78 × 311,648.42
  4. Step 4: Simplify right side
    471,028.88x = 220,637,974,993.17
  5. Step 5: Solve for x
    x = 220,637,974,993.17/471,028.88
  6. Step 6: Final answer
    x = 468,417.09

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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.