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Finding the Fourth Proportional to 513,252, 769,921.02 and 189,128.34

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Solution

The fourth proportional to 513,252, 769,921.02 and 189,128.34 is: 283,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,252 : 769,921.02 = 189,128.34 : x
  2. Step 2: Convert to fraction form
    513,252/769,921.02 = 189,128.34/x
  3. Step 3: Cross multiply
    513,252x = 769,921.02 × 189,128.34
  4. Step 4: Simplify right side
    513,252x = 145,613,884,443.71
  5. Step 5: Solve for x
    x = 145,613,884,443.71/513,252
  6. Step 6: Final answer
    x = 283,708.36

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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.