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Finding the Fourth Proportional to 292,117.56, 438,171.77 and 149,880.75

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Solution

The fourth proportional to 292,117.56, 438,171.77 and 149,880.75 is: 224,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,117.56 : 438,171.77 = 149,880.75 : x
  2. Step 2: Convert to fraction form
    292,117.56/438,171.77 = 149,880.75/x
  3. Step 3: Cross multiply
    292,117.56x = 438,171.77 × 149,880.75
  4. Step 4: Simplify right side
    292,117.56x = 65,673,512,767.02
  5. Step 5: Solve for x
    x = 65,673,512,767.02/292,117.56
  6. Step 6: Final answer
    x = 224,818.78

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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.