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Finding the Fourth Proportional to 503,419.82, 694,750.32 and 288,592.16

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Solution

The fourth proportional to 503,419.82, 694,750.32 and 288,592.16 is: 398,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,419.82 : 694,750.32 = 288,592.16 : x
  2. Step 2: Convert to fraction form
    503,419.82/694,750.32 = 288,592.16/x
  3. Step 3: Cross multiply
    503,419.82x = 694,750.32 × 288,592.16
  4. Step 4: Simplify right side
    503,419.82x = 200,499,492,035.74
  5. Step 5: Solve for x
    x = 200,499,492,035.74/503,419.82
  6. Step 6: Final answer
    x = 398,274.93

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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.