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Finding the Fourth Proportional to 317,701.32, 476,412 and 149,269.56

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Solution

The fourth proportional to 317,701.32, 476,412 and 149,269.56 is: 223,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,701.32 : 476,412 = 149,269.56 : x
  2. Step 2: Convert to fraction form
    317,701.32/476,412 = 149,269.56/x
  3. Step 3: Cross multiply
    317,701.32x = 476,412 × 149,269.56
  4. Step 4: Simplify right side
    317,701.32x = 71,113,809,618.72
  5. Step 5: Solve for x
    x = 71,113,809,618.72/317,701.32
  6. Step 6: Final answer
    x = 223,838.57

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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.