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Finding the Fourth Proportional to 199,149.60, 297,860.40 and 178,240.80

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Solution

The fourth proportional to 199,149.60, 297,860.40 and 178,240.80 is: 266,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,149.60 : 297,860.40 = 178,240.80 : x
  2. Step 2: Convert to fraction form
    199,149.60/297,860.40 = 178,240.80/x
  3. Step 3: Cross multiply
    199,149.60x = 297,860.40 × 178,240.80
  4. Step 4: Simplify right side
    199,149.60x = 53,090,875,984.32
  5. Step 5: Solve for x
    x = 53,090,875,984.32/199,149.60
  6. Step 6: Final answer
    x = 266,587.91

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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.