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Finding the Fourth Proportional to 277,737.40, 416,606.10 and 171,449.20

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Solution

The fourth proportional to 277,737.40, 416,606.10 and 171,449.20 is: 257,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,737.40 : 416,606.10 = 171,449.20 : x
  2. Step 2: Convert to fraction form
    277,737.40/416,606.10 = 171,449.20/x
  3. Step 3: Cross multiply
    277,737.40x = 416,606.10 × 171,449.20
  4. Step 4: Simplify right side
    277,737.40x = 71,426,782,560.12
  5. Step 5: Solve for x
    x = 71,426,782,560.12/277,737.40
  6. Step 6: Final answer
    x = 257,173.80

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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.