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Finding the Fourth Proportional to 219,002.57, 328,077.78 and 143,894.51

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Solution

The fourth proportional to 219,002.57, 328,077.78 and 143,894.51 is: 215,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,002.57 : 328,077.78 = 143,894.51 : x
  2. Step 2: Convert to fraction form
    219,002.57/328,077.78 = 143,894.51/x
  3. Step 3: Cross multiply
    219,002.57x = 328,077.78 × 143,894.51
  4. Step 4: Simplify right side
    219,002.57x = 47,208,589,754.60
  5. Step 5: Solve for x
    x = 47,208,589,754.60/219,002.57
  6. Step 6: Final answer
    x = 215,561.81

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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.