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Finding the Fourth Proportional to 218,823.40, 328,364.70 and 159,509.80

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Solution

The fourth proportional to 218,823.40, 328,364.70 and 159,509.80 is: 239,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,823.40 : 328,364.70 = 159,509.80 : x
  2. Step 2: Convert to fraction form
    218,823.40/328,364.70 = 159,509.80/x
  3. Step 3: Cross multiply
    218,823.40x = 328,364.70 × 159,509.80
  4. Step 4: Simplify right side
    218,823.40x = 52,377,387,624.06
  5. Step 5: Solve for x
    x = 52,377,387,624.06/218,823.40
  6. Step 6: Final answer
    x = 239,359.17

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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.