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Finding the Fourth Proportional to 510,454, 766,154.13 and 257,911.97

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Solution

The fourth proportional to 510,454, 766,154.13 and 257,911.97 is: 387,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,454 : 766,154.13 = 257,911.97 : x
  2. Step 2: Convert to fraction form
    510,454/766,154.13 = 257,911.97/x
  3. Step 3: Cross multiply
    510,454x = 766,154.13 × 257,911.97
  4. Step 4: Simplify right side
    510,454x = 197,600,320,991.94
  5. Step 5: Solve for x
    x = 197,600,320,991.94/510,454
  6. Step 6: Final answer
    x = 387,107.01

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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.