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Finding the Fourth Proportional to 432,243.69, 648,449.51 and 165,984.63

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Solution

The fourth proportional to 432,243.69, 648,449.51 and 165,984.63 is: 249,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,243.69 : 648,449.51 = 165,984.63 : x
  2. Step 2: Convert to fraction form
    432,243.69/648,449.51 = 165,984.63/x
  3. Step 3: Cross multiply
    432,243.69x = 648,449.51 × 165,984.63
  4. Step 4: Simplify right side
    432,243.69x = 107,632,651,161.11
  5. Step 5: Solve for x
    x = 107,632,651,161.11/432,243.69
  6. Step 6: Final answer
    x = 249,009.19

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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.