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Finding the Fourth Proportional to 354,678.72, 489,468.44 and 193,542.60

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Solution

The fourth proportional to 354,678.72, 489,468.44 and 193,542.60 is: 267,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,678.72 : 489,468.44 = 193,542.60 : x
  2. Step 2: Convert to fraction form
    354,678.72/489,468.44 = 193,542.60/x
  3. Step 3: Cross multiply
    354,678.72x = 489,468.44 × 193,542.60
  4. Step 4: Simplify right side
    354,678.72x = 94,732,996,814.91
  5. Step 5: Solve for x
    x = 94,732,996,814.91/354,678.72
  6. Step 6: Final answer
    x = 267,095.24

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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.