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Finding the Fourth Proportional to 354,367.08, 489,023.46 and 203,465.16

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Solution

The fourth proportional to 354,367.08, 489,023.46 and 203,465.16 is: 280,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,367.08 : 489,023.46 = 203,465.16 : x
  2. Step 2: Convert to fraction form
    354,367.08/489,023.46 = 203,465.16/x
  3. Step 3: Cross multiply
    354,367.08x = 489,023.46 × 203,465.16
  4. Step 4: Simplify right side
    354,367.08x = 99,499,236,532.65
  5. Step 5: Solve for x
    x = 99,499,236,532.65/354,367.08
  6. Step 6: Final answer
    x = 280,780.13

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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.