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Finding the Fourth Proportional to 330,530, 457,332.36 and 288,176.72

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Solution

The fourth proportional to 330,530, 457,332.36 and 288,176.72 is: 398,730.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,530 : 457,332.36 = 288,176.72 : x
  2. Step 2: Convert to fraction form
    330,530/457,332.36 = 288,176.72/x
  3. Step 3: Cross multiply
    330,530x = 457,332.36 × 288,176.72
  4. Step 4: Simplify right side
    330,530x = 131,792,539,454.66
  5. Step 5: Solve for x
    x = 131,792,539,454.66/330,530
  6. Step 6: Final answer
    x = 398,730.95

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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.