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Finding the Fourth Proportional to 560,989.40, 774,194.38 and 343,129.78

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Solution

The fourth proportional to 560,989.40, 774,194.38 and 343,129.78 is: 473,536.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,989.40 : 774,194.38 = 343,129.78 : x
  2. Step 2: Convert to fraction form
    560,989.40/774,194.38 = 343,129.78/x
  3. Step 3: Cross multiply
    560,989.40x = 774,194.38 × 343,129.78
  4. Step 4: Simplify right side
    560,989.40x = 265,649,147,286.64
  5. Step 5: Solve for x
    x = 265,649,147,286.64/560,989.40
  6. Step 6: Final answer
    x = 473,536.84

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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.