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Finding the Fourth Proportional to 312,376.84, 468,565.22 and 75,719.52

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Solution

The fourth proportional to 312,376.84, 468,565.22 and 75,719.52 is: 113,579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,376.84 : 468,565.22 = 75,719.52 : x
  2. Step 2: Convert to fraction form
    312,376.84/468,565.22 = 75,719.52/x
  3. Step 3: Cross multiply
    312,376.84x = 468,565.22 × 75,719.52
  4. Step 4: Simplify right side
    312,376.84x = 35,479,533,547.09
  5. Step 5: Solve for x
    x = 35,479,533,547.09/312,376.84
  6. Step 6: Final answer
    x = 113,579.27

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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.