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Finding the Fourth Proportional to 270,486.96, 405,767.34 and 112,678.50

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Solution

The fourth proportional to 270,486.96, 405,767.34 and 112,678.50 is: 169,033.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,486.96 : 405,767.34 = 112,678.50 : x
  2. Step 2: Convert to fraction form
    270,486.96/405,767.34 = 112,678.50/x
  3. Step 3: Cross multiply
    270,486.96x = 405,767.34 × 112,678.50
  4. Step 4: Simplify right side
    270,486.96x = 45,721,255,220.19
  5. Step 5: Solve for x
    x = 45,721,255,220.19/270,486.96
  6. Step 6: Final answer
    x = 169,033.12

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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.