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Finding the Fourth Proportional to 508,410.40, 701,314.84 and 317,091.64

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Solution

The fourth proportional to 508,410.40, 701,314.84 and 317,091.64 is: 437,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,410.40 : 701,314.84 = 317,091.64 : x
  2. Step 2: Convert to fraction form
    508,410.40/701,314.84 = 317,091.64/x
  3. Step 3: Cross multiply
    508,410.40x = 701,314.84 × 317,091.64
  4. Step 4: Simplify right side
    508,410.40x = 222,381,072,771.94
  5. Step 5: Solve for x
    x = 222,381,072,771.94/508,410.40
  6. Step 6: Final answer
    x = 437,404.65

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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.