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Finding the Fourth Proportional to 270,238.32, 405,378.54 and 157,930.20

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Solution

The fourth proportional to 270,238.32, 405,378.54 and 157,930.20 is: 236,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,238.32 : 405,378.54 = 157,930.20 : x
  2. Step 2: Convert to fraction form
    270,238.32/405,378.54 = 157,930.20/x
  3. Step 3: Cross multiply
    270,238.32x = 405,378.54 × 157,930.20
  4. Step 4: Simplify right side
    270,238.32x = 64,021,513,897.91
  5. Step 5: Solve for x
    x = 64,021,513,897.91/270,238.32
  6. Step 6: Final answer
    x = 236,907.61

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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.