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Finding the Fourth Proportional to 472,277.80, 707,955.90 and 422,511.40

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Solution

The fourth proportional to 472,277.80, 707,955.90 and 422,511.40 is: 633,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,277.80 : 707,955.90 = 422,511.40 : x
  2. Step 2: Convert to fraction form
    472,277.80/707,955.90 = 422,511.40/x
  3. Step 3: Cross multiply
    472,277.80x = 707,955.90 × 422,511.40
  4. Step 4: Simplify right side
    472,277.80x = 299,119,438,447.26
  5. Step 5: Solve for x
    x = 299,119,438,447.26/472,277.80
  6. Step 6: Final answer
    x = 633,354.86

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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.