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Finding the Fourth Proportional to 379,065.92, 523,097.25 and 209,296.40

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Solution

The fourth proportional to 379,065.92, 523,097.25 and 209,296.40 is: 288,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,065.92 : 523,097.25 = 209,296.40 : x
  2. Step 2: Convert to fraction form
    379,065.92/523,097.25 = 209,296.40/x
  3. Step 3: Cross multiply
    379,065.92x = 523,097.25 × 209,296.40
  4. Step 4: Simplify right side
    379,065.92x = 109,482,368,659.41
  5. Step 5: Solve for x
    x = 109,482,368,659.41/379,065.92
  6. Step 6: Final answer
    x = 288,821.45

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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.