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Finding the Fourth Proportional to 315,148.50, 472,724.48 and 78,491.19

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Solution

The fourth proportional to 315,148.50, 472,724.48 and 78,491.19 is: 117,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,148.50 : 472,724.48 = 78,491.19 : x
  2. Step 2: Convert to fraction form
    315,148.50/472,724.48 = 78,491.19/x
  3. Step 3: Cross multiply
    315,148.50x = 472,724.48 × 78,491.19
  4. Step 4: Simplify right side
    315,148.50x = 37,104,706,977.33
  5. Step 5: Solve for x
    x = 37,104,706,977.33/315,148.50
  6. Step 6: Final answer
    x = 117,737.22

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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.