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Finding the Fourth Proportional to 491,094.60, 735,605.10 and 408,150.60

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Solution

The fourth proportional to 491,094.60, 735,605.10 and 408,150.60 is: 611,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,094.60 : 735,605.10 = 408,150.60 : x
  2. Step 2: Convert to fraction form
    491,094.60/735,605.10 = 408,150.60/x
  3. Step 3: Cross multiply
    491,094.60x = 735,605.10 × 408,150.60
  4. Step 4: Simplify right side
    491,094.60x = 300,237,662,928.06
  5. Step 5: Solve for x
    x = 300,237,662,928.06/491,094.60
  6. Step 6: Final answer
    x = 611,364.21

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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.