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Finding the Fourth Proportional to 561,081.94, 774,298.02 and 319,380.07

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Solution

The fourth proportional to 561,081.94, 774,298.02 and 319,380.07 is: 440,747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,081.94 : 774,298.02 = 319,380.07 : x
  2. Step 2: Convert to fraction form
    561,081.94/774,298.02 = 319,380.07/x
  3. Step 3: Cross multiply
    561,081.94x = 774,298.02 × 319,380.07
  4. Step 4: Simplify right side
    561,081.94x = 247,295,355,828.46
  5. Step 5: Solve for x
    x = 247,295,355,828.46/561,081.94
  6. Step 6: Final answer
    x = 440,747.31

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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.