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Finding the Fourth Proportional to 315,090.80, 472,866.60 and 209,874.80

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Solution

The fourth proportional to 315,090.80, 472,866.60 and 209,874.80 is: 314,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,090.80 : 472,866.60 = 209,874.80 : x
  2. Step 2: Convert to fraction form
    315,090.80/472,866.60 = 209,874.80/x
  3. Step 3: Cross multiply
    315,090.80x = 472,866.60 × 209,874.80
  4. Step 4: Simplify right side
    315,090.80x = 99,242,783,101.68
  5. Step 5: Solve for x
    x = 99,242,783,101.68/315,090.80
  6. Step 6: Final answer
    x = 314,965.66

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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.