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Finding the Fourth Proportional to 402,324.80, 603,487.20 and 165,588.80

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Solution

The fourth proportional to 402,324.80, 603,487.20 and 165,588.80 is: 248,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,324.80 : 603,487.20 = 165,588.80 : x
  2. Step 2: Convert to fraction form
    402,324.80/603,487.20 = 165,588.80/x
  3. Step 3: Cross multiply
    402,324.80x = 603,487.20 × 165,588.80
  4. Step 4: Simplify right side
    402,324.80x = 99,930,721,263.36
  5. Step 5: Solve for x
    x = 99,930,721,263.36/402,324.80
  6. Step 6: Final answer
    x = 248,383.20

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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.