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Finding the Fourth Proportional to 561,678.84, 774,927.54 and 319,790.26

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Solution

The fourth proportional to 561,678.84, 774,927.54 and 319,790.26 is: 441,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,678.84 : 774,927.54 = 319,790.26 : x
  2. Step 2: Convert to fraction form
    561,678.84/774,927.54 = 319,790.26/x
  3. Step 3: Cross multiply
    561,678.84x = 774,927.54 × 319,790.26
  4. Step 4: Simplify right side
    561,678.84x = 247,814,280,466.42
  5. Step 5: Solve for x
    x = 247,814,280,466.42/561,678.84
  6. Step 6: Final answer
    x = 441,202.81

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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.