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Finding the Fourth Proportional to 312,040.70, 468,136.65 and 90,424.70

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Solution

The fourth proportional to 312,040.70, 468,136.65 and 90,424.70 is: 135,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,040.70 : 468,136.65 = 90,424.70 : x
  2. Step 2: Convert to fraction form
    312,040.70/468,136.65 = 90,424.70/x
  3. Step 3: Cross multiply
    312,040.70x = 468,136.65 × 90,424.70
  4. Step 4: Simplify right side
    312,040.70x = 42,331,116,135.26
  5. Step 5: Solve for x
    x = 42,331,116,135.26/312,040.70
  6. Step 6: Final answer
    x = 135,658.96

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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.