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Finding the Fourth Proportional to 492,843.60, 680,113.80 and 291,704.40

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Solution

The fourth proportional to 492,843.60, 680,113.80 and 291,704.40 is: 402,545.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,843.60 : 680,113.80 = 291,704.40 : x
  2. Step 2: Convert to fraction form
    492,843.60/680,113.80 = 291,704.40/x
  3. Step 3: Cross multiply
    492,843.60x = 680,113.80 × 291,704.40
  4. Step 4: Simplify right side
    492,843.60x = 198,392,187,960.72
  5. Step 5: Solve for x
    x = 198,392,187,960.72/492,843.60
  6. Step 6: Final answer
    x = 402,545.94

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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.