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Finding the Fourth Proportional to 354,731.78, 489,486.78 and 201,789.40

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Solution

The fourth proportional to 354,731.78, 489,486.78 and 201,789.40 is: 278,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,731.78 : 489,486.78 = 201,789.40 : x
  2. Step 2: Convert to fraction form
    354,731.78/489,486.78 = 201,789.40/x
  3. Step 3: Cross multiply
    354,731.78x = 489,486.78 × 201,789.40
  4. Step 4: Simplify right side
    354,731.78x = 98,773,243,644.13
  5. Step 5: Solve for x
    x = 98,773,243,644.13/354,731.78
  6. Step 6: Final answer
    x = 278,444.87

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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.