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Finding the Fourth Proportional to 312,210, 468,298.44 and 87,586.02

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Solution

The fourth proportional to 312,210, 468,298.44 and 87,586.02 is: 131,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,210 : 468,298.44 = 87,586.02 : x
  2. Step 2: Convert to fraction form
    312,210/468,298.44 = 87,586.02/x
  3. Step 3: Cross multiply
    312,210x = 468,298.44 × 87,586.02
  4. Step 4: Simplify right side
    312,210x = 41,016,396,531.81
  5. Step 5: Solve for x
    x = 41,016,396,531.81/312,210
  6. Step 6: Final answer
    x = 131,374.38

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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.