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Finding the Fourth Proportional to 499,431.42, 689,282.82 and 281,684.79

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Solution

The fourth proportional to 499,431.42, 689,282.82 and 281,684.79 is: 388,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,431.42 : 689,282.82 = 281,684.79 : x
  2. Step 2: Convert to fraction form
    499,431.42/689,282.82 = 281,684.79/x
  3. Step 3: Cross multiply
    499,431.42x = 689,282.82 × 281,684.79
  4. Step 4: Simplify right side
    499,431.42x = 194,160,486,402.31
  5. Step 5: Solve for x
    x = 194,160,486,402.31/499,431.42
  6. Step 6: Final answer
    x = 388,763.06

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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.