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Finding the Fourth Proportional to 312,559.66, 468,833.01 and 75,903.58

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Solution

The fourth proportional to 312,559.66, 468,833.01 and 75,903.58 is: 113,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,559.66 : 468,833.01 = 75,903.58 : x
  2. Step 2: Convert to fraction form
    312,559.66/468,833.01 = 75,903.58/x
  3. Step 3: Cross multiply
    312,559.66x = 468,833.01 × 75,903.58
  4. Step 4: Simplify right side
    312,559.66x = 35,586,103,881.18
  5. Step 5: Solve for x
    x = 35,586,103,881.18/312,559.66
  6. Step 6: Final answer
    x = 113,853.80

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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.