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Finding the Fourth Proportional to 270,292.60, 405,640.86 and 101,978.92

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Solution

The fourth proportional to 270,292.60, 405,640.86 and 101,978.92 is: 153,044.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,292.60 : 405,640.86 = 101,978.92 : x
  2. Step 2: Convert to fraction form
    270,292.60/405,640.86 = 101,978.92/x
  3. Step 3: Cross multiply
    270,292.60x = 405,640.86 × 101,978.92
  4. Step 4: Simplify right side
    270,292.60x = 41,366,816,810.67
  5. Step 5: Solve for x
    x = 41,366,816,810.67/270,292.60
  6. Step 6: Final answer
    x = 153,044.58

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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.