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Finding the Fourth Proportional to 315,068.70, 472,171.05 and 202,403.10

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Solution

The fourth proportional to 315,068.70, 472,171.05 and 202,403.10 is: 303,327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,068.70 : 472,171.05 = 202,403.10 : x
  2. Step 2: Convert to fraction form
    315,068.70/472,171.05 = 202,403.10/x
  3. Step 3: Cross multiply
    315,068.70x = 472,171.05 × 202,403.10
  4. Step 4: Simplify right side
    315,068.70x = 95,568,884,250.26
  5. Step 5: Solve for x
    x = 95,568,884,250.26/315,068.70
  6. Step 6: Final answer
    x = 303,327.13

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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.