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Finding the Fourth Proportional to 561,014.26, 774,095.46 and 319,282.46

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Solution

The fourth proportional to 561,014.26, 774,095.46 and 319,282.46 is: 440,550.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,014.26 : 774,095.46 = 319,282.46 : x
  2. Step 2: Convert to fraction form
    561,014.26/774,095.46 = 319,282.46/x
  3. Step 3: Cross multiply
    561,014.26x = 774,095.46 × 319,282.46
  4. Step 4: Simplify right side
    561,014.26x = 247,155,102,743.63
  5. Step 5: Solve for x
    x = 247,155,102,743.63/561,014.26
  6. Step 6: Final answer
    x = 440,550.48

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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.