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Finding the Fourth Proportional to 664,567.76, 996,968.46 and 285,721.04

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Solution

The fourth proportional to 664,567.76, 996,968.46 and 285,721.04 is: 428,631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,567.76 : 996,968.46 = 285,721.04 : x
  2. Step 2: Convert to fraction form
    664,567.76/996,968.46 = 285,721.04/x
  3. Step 3: Cross multiply
    664,567.76x = 996,968.46 × 285,721.04
  4. Step 4: Simplify right side
    664,567.76x = 284,854,865,238.40
  5. Step 5: Solve for x
    x = 284,854,865,238.40/664,567.76
  6. Step 6: Final answer
    x = 428,631.79

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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.