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Finding the Fourth Proportional to 292,274.20, 438,168.30 and 123,923.80

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Solution

The fourth proportional to 292,274.20, 438,168.30 and 123,923.80 is: 185,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,274.20 : 438,168.30 = 123,923.80 : x
  2. Step 2: Convert to fraction form
    292,274.20/438,168.30 = 123,923.80/x
  3. Step 3: Cross multiply
    292,274.20x = 438,168.30 × 123,923.80
  4. Step 4: Simplify right side
    292,274.20x = 54,299,480,775.54
  5. Step 5: Solve for x
    x = 54,299,480,775.54/292,274.20
  6. Step 6: Final answer
    x = 185,782.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.