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Finding the Fourth Proportional to 665,838.36, 998,713.80 and 286,743.78

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Solution

The fourth proportional to 665,838.36, 998,713.80 and 286,743.78 is: 430,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,838.36 : 998,713.80 = 286,743.78 : x
  2. Step 2: Convert to fraction form
    665,838.36/998,713.80 = 286,743.78/x
  3. Step 3: Cross multiply
    665,838.36x = 998,713.80 × 286,743.78
  4. Step 4: Simplify right side
    665,838.36x = 286,374,970,150.16
  5. Step 5: Solve for x
    x = 286,374,970,150.16/665,838.36
  6. Step 6: Final answer
    x = 430,096.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.