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Finding the Fourth Proportional to 354,743.54, 489,557.52 and 201,777.78

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Solution

The fourth proportional to 354,743.54, 489,557.52 and 201,777.78 is: 278,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,743.54 : 489,557.52 = 201,777.78 : x
  2. Step 2: Convert to fraction form
    354,743.54/489,557.52 = 201,777.78/x
  3. Step 3: Cross multiply
    354,743.54x = 489,557.52 × 201,777.78
  4. Step 4: Simplify right side
    354,743.54x = 98,781,829,567.91
  5. Step 5: Solve for x
    x = 98,781,829,567.91/354,743.54
  6. Step 6: Final answer
    x = 278,459.84

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1.5x scale

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.