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Finding the Fourth Proportional to 503,374.53, 694,659.16 and 288,527.16

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Solution

The fourth proportional to 503,374.53, 694,659.16 and 288,527.16 is: 398,168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,374.53 : 694,659.16 = 288,527.16 : x
  2. Step 2: Convert to fraction form
    503,374.53/694,659.16 = 288,527.16/x
  3. Step 3: Cross multiply
    503,374.53x = 694,659.16 × 288,527.16
  4. Step 4: Simplify right side
    503,374.53x = 200,428,033,160.15
  5. Step 5: Solve for x
    x = 200,428,033,160.15/503,374.53
  6. Step 6: Final answer
    x = 398,168.80

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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.