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Finding the Fourth Proportional to 219,463.80, 328,998.60 and 86,434.80

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Solution

The fourth proportional to 219,463.80, 328,998.60 and 86,434.80 is: 129,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,463.80 : 328,998.60 = 86,434.80 : x
  2. Step 2: Convert to fraction form
    219,463.80/328,998.60 = 86,434.80/x
  3. Step 3: Cross multiply
    219,463.80x = 328,998.60 × 86,434.80
  4. Step 4: Simplify right side
    219,463.80x = 28,436,928,191.28
  5. Step 5: Solve for x
    x = 28,436,928,191.28/219,463.80
  6. Step 6: Final answer
    x = 129,574.57

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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.