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Finding the Fourth Proportional to 524,878.76, 787,738.52 and 272,231.66

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Solution

The fourth proportional to 524,878.76, 787,738.52 and 272,231.66 is: 408,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,878.76 : 787,738.52 = 272,231.66 : x
  2. Step 2: Convert to fraction form
    524,878.76/787,738.52 = 272,231.66/x
  3. Step 3: Cross multiply
    524,878.76x = 787,738.52 × 272,231.66
  4. Step 4: Simplify right side
    524,878.76x = 214,447,359,645.69
  5. Step 5: Solve for x
    x = 214,447,359,645.69/524,878.76
  6. Step 6: Final answer
    x = 408,565.52

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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.