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Finding the Fourth Proportional to 380,995.76, 571,517.40 and 100,513.28

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Solution

The fourth proportional to 380,995.76, 571,517.40 and 100,513.28 is: 150,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,995.76 : 571,517.40 = 100,513.28 : x
  2. Step 2: Convert to fraction form
    380,995.76/571,517.40 = 100,513.28/x
  3. Step 3: Cross multiply
    380,995.76x = 571,517.40 × 100,513.28
  4. Step 4: Simplify right side
    380,995.76x = 57,445,090,256.79
  5. Step 5: Solve for x
    x = 57,445,090,256.79/380,995.76
  6. Step 6: Final answer
    x = 150,776.19

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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.