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Finding the Fourth Proportional to 510,421.36, 765,632.32 and 229,610.56

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Solution

The fourth proportional to 510,421.36, 765,632.32 and 229,610.56 is: 344,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,421.36 : 765,632.32 = 229,610.56 : x
  2. Step 2: Convert to fraction form
    510,421.36/765,632.32 = 229,610.56/x
  3. Step 3: Cross multiply
    510,421.36x = 765,632.32 × 229,610.56
  4. Step 4: Simplify right side
    510,421.36x = 175,797,265,749.30
  5. Step 5: Solve for x
    x = 175,797,265,749.30/510,421.36
  6. Step 6: Final answer
    x = 344,415.97

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1.5x scale

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.