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Finding the Fourth Proportional to 561,394.66, 774,723.85 and 319,677.23

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Solution

The fourth proportional to 561,394.66, 774,723.85 and 319,677.23 is: 441,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,394.66 : 774,723.85 = 319,677.23 : x
  2. Step 2: Convert to fraction form
    561,394.66/774,723.85 = 319,677.23/x
  3. Step 3: Cross multiply
    561,394.66x = 774,723.85 × 319,677.23
  4. Step 4: Simplify right side
    561,394.66x = 247,661,572,865.72
  5. Step 5: Solve for x
    x = 247,661,572,865.72/561,394.66
  6. Step 6: Final answer
    x = 441,154.13

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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.