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Finding the Fourth Proportional to 561,106.56, 774,295.68 and 319,448

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Solution

The fourth proportional to 561,106.56, 774,295.68 and 319,448 is: 440,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,106.56 : 774,295.68 = 319,448 : x
  2. Step 2: Convert to fraction form
    561,106.56/774,295.68 = 319,448/x
  3. Step 3: Cross multiply
    561,106.56x = 774,295.68 × 319,448
  4. Step 4: Simplify right side
    561,106.56x = 247,347,206,384.64
  5. Step 5: Solve for x
    x = 247,347,206,384.64/561,106.56
  6. Step 6: Final answer
    x = 440,820.38

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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.