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Finding the Fourth Proportional to 312,496.74, 468,118.17 and 143,782.02

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Solution

The fourth proportional to 312,496.74, 468,118.17 and 143,782.02 is: 215,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,496.74 : 468,118.17 = 143,782.02 : x
  2. Step 2: Convert to fraction form
    312,496.74/468,118.17 = 143,782.02/x
  3. Step 3: Cross multiply
    312,496.74x = 468,118.17 × 143,782.02
  4. Step 4: Simplify right side
    312,496.74x = 67,306,976,081.30
  5. Step 5: Solve for x
    x = 67,306,976,081.30/312,496.74
  6. Step 6: Final answer
    x = 215,384.57

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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.