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Finding the Fourth Proportional to 219,352.96, 302,706.48 and 123,857.76

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Solution

The fourth proportional to 219,352.96, 302,706.48 and 123,857.76 is: 170,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,352.96 : 302,706.48 = 123,857.76 : x
  2. Step 2: Convert to fraction form
    219,352.96/302,706.48 = 123,857.76/x
  3. Step 3: Cross multiply
    219,352.96x = 302,706.48 × 123,857.76
  4. Step 4: Simplify right side
    219,352.96x = 37,492,546,550.28
  5. Step 5: Solve for x
    x = 37,492,546,550.28/219,352.96
  6. Step 6: Final answer
    x = 170,923.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.