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Finding the Fourth Proportional to 312,856.17, 468,922.79 and 144,022.50

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Solution

The fourth proportional to 312,856.17, 468,922.79 and 144,022.50 is: 215,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,856.17 : 468,922.79 = 144,022.50 : x
  2. Step 2: Convert to fraction form
    312,856.17/468,922.79 = 144,022.50/x
  3. Step 3: Cross multiply
    312,856.17x = 468,922.79 × 144,022.50
  4. Step 4: Simplify right side
    312,856.17x = 67,535,431,802.66
  5. Step 5: Solve for x
    x = 67,535,431,802.66/312,856.17
  6. Step 6: Final answer
    x = 215,867.35

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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.