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Finding the Fourth Proportional to 491,247.60, 736,093.80 and 411,932.40

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Solution

The fourth proportional to 491,247.60, 736,093.80 and 411,932.40 is: 617,246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,247.60 : 736,093.80 = 411,932.40 : x
  2. Step 2: Convert to fraction form
    491,247.60/736,093.80 = 411,932.40/x
  3. Step 3: Cross multiply
    491,247.60x = 736,093.80 × 411,932.40
  4. Step 4: Simplify right side
    491,247.60x = 303,220,885,659.12
  5. Step 5: Solve for x
    x = 303,220,885,659.12/491,247.60
  6. Step 6: Final answer
    x = 617,246.55

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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.