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Finding the Fourth Proportional to 315,069.70, 472,172.55 and 202,404.10

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Solution

The fourth proportional to 315,069.70, 472,172.55 and 202,404.10 is: 303,328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,069.70 : 472,172.55 = 202,404.10 : x
  2. Step 2: Convert to fraction form
    315,069.70/472,172.55 = 202,404.10/x
  3. Step 3: Cross multiply
    315,069.70x = 472,172.55 × 202,404.10
  4. Step 4: Simplify right side
    315,069.70x = 95,569,660,027.46
  5. Step 5: Solve for x
    x = 95,569,660,027.46/315,069.70
  6. Step 6: Final answer
    x = 303,328.63

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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.