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Finding the Fourth Proportional to 561,404.35, 774,738.98 and 306,750.07

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Solution

The fourth proportional to 561,404.35, 774,738.98 and 306,750.07 is: 423,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,404.35 : 774,738.98 = 306,750.07 : x
  2. Step 2: Convert to fraction form
    561,404.35/774,738.98 = 306,750.07/x
  3. Step 3: Cross multiply
    561,404.35x = 774,738.98 × 306,750.07
  4. Step 4: Simplify right side
    561,404.35x = 237,651,236,346.73
  5. Step 5: Solve for x
    x = 237,651,236,346.73/561,404.35
  6. Step 6: Final answer
    x = 423,315.63

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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.