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Finding the Fourth Proportional to 510,032.43, 765,020.97 and 155,018.78

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Solution

The fourth proportional to 510,032.43, 765,020.97 and 155,018.78 is: 232,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,032.43 : 765,020.97 = 155,018.78 : x
  2. Step 2: Convert to fraction form
    510,032.43/765,020.97 = 155,018.78/x
  3. Step 3: Cross multiply
    510,032.43x = 765,020.97 × 155,018.78
  4. Step 4: Simplify right side
    510,032.43x = 118,592,616,487.54
  5. Step 5: Solve for x
    x = 118,592,616,487.54/510,032.43
  6. Step 6: Final answer
    x = 232,519.76

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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.