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Finding the Fourth Proportional to 503,228.28, 694,471.65 and 288,409.53

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Solution

The fourth proportional to 503,228.28, 694,471.65 and 288,409.53 is: 398,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,228.28 : 694,471.65 = 288,409.53 : x
  2. Step 2: Convert to fraction form
    503,228.28/694,471.65 = 288,409.53/x
  3. Step 3: Cross multiply
    503,228.28x = 694,471.65 × 288,409.53
  4. Step 4: Simplify right side
    503,228.28x = 200,292,242,174.83
  5. Step 5: Solve for x
    x = 200,292,242,174.83/503,228.28
  6. Step 6: Final answer
    x = 398,014.68

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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.