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Finding the Fourth Proportional to 270,162.42, 372,813.60 and 155,478

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Solution

The fourth proportional to 270,162.42, 372,813.60 and 155,478 is: 214,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,162.42 : 372,813.60 = 155,478 : x
  2. Step 2: Convert to fraction form
    270,162.42/372,813.60 = 155,478/x
  3. Step 3: Cross multiply
    270,162.42x = 372,813.60 × 155,478
  4. Step 4: Simplify right side
    270,162.42x = 57,964,312,900.80
  5. Step 5: Solve for x
    x = 57,964,312,900.80/270,162.42
  6. Step 6: Final answer
    x = 214,553.57

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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.