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Finding the Fourth Proportional to 432,564.70, 648,895.65 and 133,042.90

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Solution

The fourth proportional to 432,564.70, 648,895.65 and 133,042.90 is: 199,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,564.70 : 648,895.65 = 133,042.90 : x
  2. Step 2: Convert to fraction form
    432,564.70/648,895.65 = 133,042.90/x
  3. Step 3: Cross multiply
    432,564.70x = 648,895.65 × 133,042.90
  4. Step 4: Simplify right side
    432,564.70x = 86,330,959,073.39
  5. Step 5: Solve for x
    x = 86,330,959,073.39/432,564.70
  6. Step 6: Final answer
    x = 199,579.30

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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.