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Finding the Fourth Proportional to 561,419.91, 774,761.46 and 306,771.10

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Solution

The fourth proportional to 561,419.91, 774,761.46 and 306,771.10 is: 423,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,419.91 : 774,761.46 = 306,771.10 : x
  2. Step 2: Convert to fraction form
    561,419.91/774,761.46 = 306,771.10/x
  3. Step 3: Cross multiply
    561,419.91x = 774,761.46 × 306,771.10
  4. Step 4: Simplify right side
    561,419.91x = 237,674,422,234.51
  5. Step 5: Solve for x
    x = 237,674,422,234.51/561,419.91
  6. Step 6: Final answer
    x = 423,345.20

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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.