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Finding the Fourth Proportional to 312,547.46, 468,819.17 and 75,888.55

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Solution

The fourth proportional to 312,547.46, 468,819.17 and 75,888.55 is: 113,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,547.46 : 468,819.17 = 75,888.55 : x
  2. Step 2: Convert to fraction form
    312,547.46/468,819.17 = 75,888.55/x
  3. Step 3: Cross multiply
    312,547.46x = 468,819.17 × 75,888.55
  4. Step 4: Simplify right side
    312,547.46x = 35,578,004,664.12
  5. Step 5: Solve for x
    x = 35,578,004,664.12/312,547.46
  6. Step 6: Final answer
    x = 113,832.33

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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.