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Finding the Fourth Proportional to 354,516.40, 489,145.08 and 216,660.16

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Solution

The fourth proportional to 354,516.40, 489,145.08 and 216,660.16 is: 298,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,516.40 : 489,145.08 = 216,660.16 : x
  2. Step 2: Convert to fraction form
    354,516.40/489,145.08 = 216,660.16/x
  3. Step 3: Cross multiply
    354,516.40x = 489,145.08 × 216,660.16
  4. Step 4: Simplify right side
    354,516.40x = 105,978,251,296.01
  5. Step 5: Solve for x
    x = 105,978,251,296.01/354,516.40
  6. Step 6: Final answer
    x = 298,937.51

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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.