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Finding the Fourth Proportional to 407,862.90, 611,794.35 and 266,145.30

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Solution

The fourth proportional to 407,862.90, 611,794.35 and 266,145.30 is: 399,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,862.90 : 611,794.35 = 266,145.30 : x
  2. Step 2: Convert to fraction form
    407,862.90/611,794.35 = 266,145.30/x
  3. Step 3: Cross multiply
    407,862.90x = 611,794.35 × 266,145.30
  4. Step 4: Simplify right side
    407,862.90x = 162,826,190,819.06
  5. Step 5: Solve for x
    x = 162,826,190,819.06/407,862.90
  6. Step 6: Final answer
    x = 399,217.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.