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Finding the Fourth Proportional to 298,271.68, 411,877.44 and 203,005.96

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Solution

The fourth proportional to 298,271.68, 411,877.44 and 203,005.96 is: 280,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,271.68 : 411,877.44 = 203,005.96 : x
  2. Step 2: Convert to fraction form
    298,271.68/411,877.44 = 203,005.96/x
  3. Step 3: Cross multiply
    298,271.68x = 411,877.44 × 203,005.96
  4. Step 4: Simplify right side
    298,271.68x = 83,613,575,109.54
  5. Step 5: Solve for x
    x = 83,613,575,109.54/298,271.68
  6. Step 6: Final answer
    x = 280,326.90

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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.