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Finding the Fourth Proportional to 298,877.44, 412,368.96 and 208,132.48

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Solution

The fourth proportional to 298,877.44, 412,368.96 and 208,132.48 is: 287,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,877.44 : 412,368.96 = 208,132.48 : x
  2. Step 2: Convert to fraction form
    298,877.44/412,368.96 = 208,132.48/x
  3. Step 3: Cross multiply
    298,877.44x = 412,368.96 × 208,132.48
  4. Step 4: Simplify right side
    298,877.44x = 85,827,374,319.82
  5. Step 5: Solve for x
    x = 85,827,374,319.82/298,877.44
  6. Step 6: Final answer
    x = 287,165.78

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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.