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Finding the Fourth Proportional to 458,805.09, 688,353.90 and 192,494.10

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Solution

The fourth proportional to 458,805.09, 688,353.90 and 192,494.10 is: 288,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,805.09 : 688,353.90 = 192,494.10 : x
  2. Step 2: Convert to fraction form
    458,805.09/688,353.90 = 192,494.10/x
  3. Step 3: Cross multiply
    458,805.09x = 688,353.90 × 192,494.10
  4. Step 4: Simplify right side
    458,805.09x = 132,504,066,321.46
  5. Step 5: Solve for x
    x = 132,504,066,321.46/458,805.09
  6. Step 6: Final answer
    x = 288,802.52

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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.