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Finding the Fourth Proportional to 491,031.60, 735,769.80 and 411,716.40

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Solution

The fourth proportional to 491,031.60, 735,769.80 and 411,716.40 is: 616,922.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,031.60 : 735,769.80 = 411,716.40 : x
  2. Step 2: Convert to fraction form
    491,031.60/735,769.80 = 411,716.40/x
  3. Step 3: Cross multiply
    491,031.60x = 735,769.80 × 411,716.40
  4. Step 4: Simplify right side
    491,031.60x = 302,928,493,284.72
  5. Step 5: Solve for x
    x = 302,928,493,284.72/491,031.60
  6. Step 6: Final answer
    x = 616,922.60

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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.