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Finding the Fourth Proportional to 487,286.69, 729,794.61 and 473,834.21

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Solution

The fourth proportional to 487,286.69, 729,794.61 and 473,834.21 is: 709,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,286.69 : 729,794.61 = 473,834.21 : x
  2. Step 2: Convert to fraction form
    487,286.69/729,794.61 = 473,834.21/x
  3. Step 3: Cross multiply
    487,286.69x = 729,794.61 × 473,834.21
  4. Step 4: Simplify right side
    487,286.69x = 345,801,648,842.64
  5. Step 5: Solve for x
    x = 345,801,648,842.64/487,286.69
  6. Step 6: Final answer
    x = 709,647.24

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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.