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Finding the Fourth Proportional to 355,046.92, 489,968.12 and 202,077.64

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Solution

The fourth proportional to 355,046.92, 489,968.12 and 202,077.64 is: 278,869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,046.92 : 489,968.12 = 202,077.64 : x
  2. Step 2: Convert to fraction form
    355,046.92/489,968.12 = 202,077.64/x
  3. Step 3: Cross multiply
    355,046.92x = 489,968.12 × 202,077.64
  4. Step 4: Simplify right side
    355,046.92x = 99,011,601,364.84
  5. Step 5: Solve for x
    x = 99,011,601,364.84/355,046.92
  6. Step 6: Final answer
    x = 278,869.06

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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.