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Finding the Fourth Proportional to 561,821.28, 775,316.64 and 307,172.46

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Solution

The fourth proportional to 561,821.28, 775,316.64 and 307,172.46 is: 423,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,821.28 : 775,316.64 = 307,172.46 : x
  2. Step 2: Convert to fraction form
    561,821.28/775,316.64 = 307,172.46/x
  3. Step 3: Cross multiply
    561,821.28x = 775,316.64 × 307,172.46
  4. Step 4: Simplify right side
    561,821.28x = 238,155,919,587.73
  5. Step 5: Solve for x
    x = 238,155,919,587.73/561,821.28
  6. Step 6: Final answer
    x = 423,899.78

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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.