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Finding the Fourth Proportional to 561,381.09, 774,711.35 and 306,732.25

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Solution

The fourth proportional to 561,381.09, 774,711.35 and 306,732.25 is: 423,293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,381.09 : 774,711.35 = 306,732.25 : x
  2. Step 2: Convert to fraction form
    561,381.09/774,711.35 = 306,732.25/x
  3. Step 3: Cross multiply
    561,381.09x = 774,711.35 × 306,732.25
  4. Step 4: Simplify right side
    561,381.09x = 237,628,955,486.04
  5. Step 5: Solve for x
    x = 237,628,955,486.04/561,381.09
  6. Step 6: Final answer
    x = 423,293.48

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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.