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Finding the Fourth Proportional to 331,700, 457,746.32 and 180,797.60

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Solution

The fourth proportional to 331,700, 457,746.32 and 180,797.60 is: 249,500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,700 : 457,746.32 = 180,797.60 : x
  2. Step 2: Convert to fraction form
    331,700/457,746.32 = 180,797.60/x
  3. Step 3: Cross multiply
    331,700x = 457,746.32 × 180,797.60
  4. Step 4: Simplify right side
    331,700x = 82,759,436,064.83
  5. Step 5: Solve for x
    x = 82,759,436,064.83/331,700
  6. Step 6: Final answer
    x = 249,500.86

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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.