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Finding the Fourth Proportional to 206,365.60, 309,548.48 and 136,228.48

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Solution

The fourth proportional to 206,365.60, 309,548.48 and 136,228.48 is: 204,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,365.60 : 309,548.48 = 136,228.48 : x
  2. Step 2: Convert to fraction form
    206,365.60/309,548.48 = 136,228.48/x
  3. Step 3: Cross multiply
    206,365.60x = 309,548.48 × 136,228.48
  4. Step 4: Simplify right side
    206,365.60x = 42,169,318,916.71
  5. Step 5: Solve for x
    x = 42,169,318,916.71/206,365.60
  6. Step 6: Final answer
    x = 204,342.77

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1.5x scale

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.