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Finding the Fourth Proportional to 499,122, 688,749.12 and 284,219.28

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Solution

The fourth proportional to 499,122, 688,749.12 and 284,219.28 is: 392,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,122 : 688,749.12 = 284,219.28 : x
  2. Step 2: Convert to fraction form
    499,122/688,749.12 = 284,219.28/x
  3. Step 3: Cross multiply
    499,122x = 688,749.12 × 284,219.28
  4. Step 4: Simplify right side
    499,122x = 195,755,778,987.03
  5. Step 5: Solve for x
    x = 195,755,778,987.03/499,122
  6. Step 6: Final answer
    x = 392,200.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.