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Finding the Fourth Proportional to 315,071.70, 472,175.55 and 202,406.10

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Solution

The fourth proportional to 315,071.70, 472,175.55 and 202,406.10 is: 303,331.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,071.70 : 472,175.55 = 202,406.10 : x
  2. Step 2: Convert to fraction form
    315,071.70/472,175.55 = 202,406.10/x
  3. Step 3: Cross multiply
    315,071.70x = 472,175.55 × 202,406.10
  4. Step 4: Simplify right side
    315,071.70x = 95,571,211,590.86
  5. Step 5: Solve for x
    x = 95,571,211,590.86/315,071.70
  6. Step 6: Final answer
    x = 303,331.63

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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.