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Finding the Fourth Proportional to 354,749.54, 489,565.80 and 201,783.78

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Solution

The fourth proportional to 354,749.54, 489,565.80 and 201,783.78 is: 278,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,749.54 : 489,565.80 = 201,783.78 : x
  2. Step 2: Convert to fraction form
    354,749.54/489,565.80 = 201,783.78/x
  3. Step 3: Cross multiply
    354,749.54x = 489,565.80 × 201,783.78
  4. Step 4: Simplify right side
    354,749.54x = 98,786,437,682.72
  5. Step 5: Solve for x
    x = 98,786,437,682.72/354,749.54
  6. Step 6: Final answer
    x = 278,468.12

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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.