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Finding the Fourth Proportional to 270,194.31, 405,298.40 and 128,006.28

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Solution

The fourth proportional to 270,194.31, 405,298.40 and 128,006.28 is: 192,012.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,194.31 : 405,298.40 = 128,006.28 : x
  2. Step 2: Convert to fraction form
    270,194.31/405,298.40 = 128,006.28/x
  3. Step 3: Cross multiply
    270,194.31x = 405,298.40 × 128,006.28
  4. Step 4: Simplify right side
    270,194.31x = 51,880,739,833.92
  5. Step 5: Solve for x
    x = 51,880,739,833.92/270,194.31
  6. Step 6: Final answer
    x = 192,012.70

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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.