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Finding the Fourth Proportional to 432,012.49, 648,160.92 and 204,405.93

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Solution

The fourth proportional to 432,012.49, 648,160.92 and 204,405.93 is: 306,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,012.49 : 648,160.92 = 204,405.93 : x
  2. Step 2: Convert to fraction form
    432,012.49/648,160.92 = 204,405.93/x
  3. Step 3: Cross multiply
    432,012.49x = 648,160.92 × 204,405.93
  4. Step 4: Simplify right side
    432,012.49x = 132,487,935,642.26
  5. Step 5: Solve for x
    x = 132,487,935,642.26/432,012.49
  6. Step 6: Final answer
    x = 306,676.17

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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.