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Finding the Fourth Proportional to 317,420.40, 476,264.20 and 197,577.60

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Solution

The fourth proportional to 317,420.40, 476,264.20 and 197,577.60 is: 296,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,420.40 : 476,264.20 = 197,577.60 : x
  2. Step 2: Convert to fraction form
    317,420.40/476,264.20 = 197,577.60/x
  3. Step 3: Cross multiply
    317,420.40x = 476,264.20 × 197,577.60
  4. Step 4: Simplify right side
    317,420.40x = 94,099,137,601.92
  5. Step 5: Solve for x
    x = 94,099,137,601.92/317,420.40
  6. Step 6: Final answer
    x = 296,449.56

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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.