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Finding the Fourth Proportional to 312,368.14, 468,552.20 and 75,710.81

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Solution

The fourth proportional to 312,368.14, 468,552.20 and 75,710.81 is: 113,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,368.14 : 468,552.20 = 75,710.81 : x
  2. Step 2: Convert to fraction form
    312,368.14/468,552.20 = 75,710.81/x
  3. Step 3: Cross multiply
    312,368.14x = 468,552.20 × 75,710.81
  4. Step 4: Simplify right side
    312,368.14x = 35,474,467,382.11
  5. Step 5: Solve for x
    x = 35,474,467,382.11/312,368.14
  6. Step 6: Final answer
    x = 113,566.21

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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.