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Finding the Fourth Proportional to 521,092.07, 781,096.19 and 201,463.47

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Solution

The fourth proportional to 521,092.07, 781,096.19 and 201,463.47 is: 301,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,092.07 : 781,096.19 = 201,463.47 : x
  2. Step 2: Convert to fraction form
    521,092.07/781,096.19 = 201,463.47/x
  3. Step 3: Cross multiply
    521,092.07x = 781,096.19 × 201,463.47
  4. Step 4: Simplify right side
    521,092.07x = 157,362,347,833.86
  5. Step 5: Solve for x
    x = 157,362,347,833.86/521,092.07
  6. Step 6: Final answer
    x = 301,985.69

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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.