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Finding the Fourth Proportional to 471,030.88, 707,973.78 and 311,650.42

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Solution

The fourth proportional to 471,030.88, 707,973.78 and 311,650.42 is: 468,420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,030.88 : 707,973.78 = 311,650.42 : x
  2. Step 2: Convert to fraction form
    471,030.88/707,973.78 = 311,650.42/x
  3. Step 3: Cross multiply
    471,030.88x = 707,973.78 × 311,650.42
  4. Step 4: Simplify right side
    471,030.88x = 220,640,325,885.99
  5. Step 5: Solve for x
    x = 220,640,325,885.99/471,030.88
  6. Step 6: Final answer
    x = 468,420.09

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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.