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Finding the Fourth Proportional to 516,270, 772,746.66 and 275,782.62

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Solution

The fourth proportional to 516,270, 772,746.66 and 275,782.62 is: 412,788.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,270 : 772,746.66 = 275,782.62 : x
  2. Step 2: Convert to fraction form
    516,270/772,746.66 = 275,782.62/x
  3. Step 3: Cross multiply
    516,270x = 772,746.66 × 275,782.62
  4. Step 4: Simplify right side
    516,270x = 213,110,098,491.05
  5. Step 5: Solve for x
    x = 213,110,098,491.05/516,270
  6. Step 6: Final answer
    x = 412,788.07

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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.