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Finding the Fourth Proportional to 270,294.60, 405,643.86 and 101,980.92

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Solution

The fourth proportional to 270,294.60, 405,643.86 and 101,980.92 is: 153,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,294.60 : 405,643.86 = 101,980.92 : x
  2. Step 2: Convert to fraction form
    270,294.60/405,643.86 = 101,980.92/x
  3. Step 3: Cross multiply
    270,294.60x = 405,643.86 × 101,980.92
  4. Step 4: Simplify right side
    270,294.60x = 41,367,934,035.15
  5. Step 5: Solve for x
    x = 41,367,934,035.15/270,294.60
  6. Step 6: Final answer
    x = 153,047.58

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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.