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Finding the Fourth Proportional to 270,471.15, 405,905.85 and 128,316.69

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Solution

The fourth proportional to 270,471.15, 405,905.85 and 128,316.69 is: 192,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,471.15 : 405,905.85 = 128,316.69 : x
  2. Step 2: Convert to fraction form
    270,471.15/405,905.85 = 128,316.69/x
  3. Step 3: Cross multiply
    270,471.15x = 405,905.85 × 128,316.69
  4. Step 4: Simplify right side
    270,471.15x = 52,084,495,123.64
  5. Step 5: Solve for x
    x = 52,084,495,123.64/270,471.15
  6. Step 6: Final answer
    x = 192,569.50

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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.