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Finding the Fourth Proportional to 432,532.73, 648,429.64 and 305,774.21

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Solution

The fourth proportional to 432,532.73, 648,429.64 and 305,774.21 is: 458,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,532.73 : 648,429.64 = 305,774.21 : x
  2. Step 2: Convert to fraction form
    432,532.73/648,429.64 = 305,774.21/x
  3. Step 3: Cross multiply
    432,532.73x = 648,429.64 × 305,774.21
  4. Step 4: Simplify right side
    432,532.73x = 198,273,062,960.98
  5. Step 5: Solve for x
    x = 198,273,062,960.98/432,532.73
  6. Step 6: Final answer
    x = 458,400.13

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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.