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Finding the Fourth Proportional to 503,411.73, 694,739.20 and 288,584.10

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Solution

The fourth proportional to 503,411.73, 694,739.20 and 288,584.10 is: 398,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,411.73 : 694,739.20 = 288,584.10 : x
  2. Step 2: Convert to fraction form
    503,411.73/694,739.20 = 288,584.10/x
  3. Step 3: Cross multiply
    503,411.73x = 694,739.20 × 288,584.10
  4. Step 4: Simplify right side
    503,411.73x = 200,490,686,766.72
  5. Step 5: Solve for x
    x = 200,490,686,766.72/503,411.73
  6. Step 6: Final answer
    x = 398,263.84

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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.