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Finding the Fourth Proportional to 317,090.77, 437,331.15 and 278,768.86

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Solution

The fourth proportional to 317,090.77, 437,331.15 and 278,768.86 is: 384,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,090.77 : 437,331.15 = 278,768.86 : x
  2. Step 2: Convert to fraction form
    317,090.77/437,331.15 = 278,768.86/x
  3. Step 3: Cross multiply
    317,090.77x = 437,331.15 × 278,768.86
  4. Step 4: Simplify right side
    317,090.77x = 121,914,305,034.66
  5. Step 5: Solve for x
    x = 121,914,305,034.66/317,090.77
  6. Step 6: Final answer
    x = 384,477.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.