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Finding the Fourth Proportional to 411,876.95, 615,310.74 and 266,599.33

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Solution

The fourth proportional to 411,876.95, 615,310.74 and 266,599.33 is: 398,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,876.95 : 615,310.74 = 266,599.33 : x
  2. Step 2: Convert to fraction form
    411,876.95/615,310.74 = 266,599.33/x
  3. Step 3: Cross multiply
    411,876.95x = 615,310.74 × 266,599.33
  4. Step 4: Simplify right side
    411,876.95x = 164,041,429,487.53
  5. Step 5: Solve for x
    x = 164,041,429,487.53/411,876.95
  6. Step 6: Final answer
    x = 398,277.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.