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Finding the Fourth Proportional to 561,468.03, 774,904.91 and 357,453.78

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Solution

The fourth proportional to 561,468.03, 774,904.91 and 357,453.78 is: 493,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,468.03 : 774,904.91 = 357,453.78 : x
  2. Step 2: Convert to fraction form
    561,468.03/774,904.91 = 357,453.78/x
  3. Step 3: Cross multiply
    561,468.03x = 774,904.91 × 357,453.78
  4. Step 4: Simplify right side
    561,468.03x = 276,992,687,432.79
  5. Step 5: Solve for x
    x = 276,992,687,432.79/561,468.03
  6. Step 6: Final answer
    x = 493,336.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.