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Finding the Fourth Proportional to 397,461.60, 548,989.25 and 288,390.92

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Solution

The fourth proportional to 397,461.60, 548,989.25 and 288,390.92 is: 398,336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,461.60 : 548,989.25 = 288,390.92 : x
  2. Step 2: Convert to fraction form
    397,461.60/548,989.25 = 288,390.92/x
  3. Step 3: Cross multiply
    397,461.60x = 548,989.25 × 288,390.92
  4. Step 4: Simplify right side
    397,461.60x = 158,323,510,690.71
  5. Step 5: Solve for x
    x = 158,323,510,690.71/397,461.60
  6. Step 6: Final answer
    x = 398,336.62

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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.