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Finding the Fourth Proportional to 561,477.69, 774,856.13 and 306,833.13

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Solution

The fourth proportional to 561,477.69, 774,856.13 and 306,833.13 is: 423,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,477.69 : 774,856.13 = 306,833.13 : x
  2. Step 2: Convert to fraction form
    561,477.69/774,856.13 = 306,833.13/x
  3. Step 3: Cross multiply
    561,477.69x = 774,856.13 × 306,833.13
  4. Step 4: Simplify right side
    561,477.69x = 237,751,530,133.42
  5. Step 5: Solve for x
    x = 237,751,530,133.42/561,477.69
  6. Step 6: Final answer
    x = 423,438.96

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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.