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Finding the Fourth Proportional to 503,406.40, 694,716.96 and 288,587.20

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Solution

The fourth proportional to 503,406.40, 694,716.96 and 288,587.20 is: 398,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,406.40 : 694,716.96 = 288,587.20 : x
  2. Step 2: Convert to fraction form
    503,406.40/694,716.96 = 288,587.20/x
  3. Step 3: Cross multiply
    503,406.40x = 694,716.96 × 288,587.20
  4. Step 4: Simplify right side
    503,406.40x = 200,486,422,278.91
  5. Step 5: Solve for x
    x = 200,486,422,278.91/503,406.40
  6. Step 6: Final answer
    x = 398,259.58

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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.