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Finding the Fourth Proportional to 270,182.84, 405,212.29 and 101,720.66

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Solution

The fourth proportional to 270,182.84, 405,212.29 and 101,720.66 is: 152,557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,182.84 : 405,212.29 = 101,720.66 : x
  2. Step 2: Convert to fraction form
    270,182.84/405,212.29 = 101,720.66/x
  3. Step 3: Cross multiply
    270,182.84x = 405,212.29 × 101,720.66
  4. Step 4: Simplify right side
    270,182.84x = 41,218,459,298.55
  5. Step 5: Solve for x
    x = 41,218,459,298.55/270,182.84
  6. Step 6: Final answer
    x = 152,557.65

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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.