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Finding the Fourth Proportional to 435,854.60, 654,012.30 and 199,233.80

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Solution

The fourth proportional to 435,854.60, 654,012.30 and 199,233.80 is: 298,956.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,854.60 : 654,012.30 = 199,233.80 : x
  2. Step 2: Convert to fraction form
    435,854.60/654,012.30 = 199,233.80/x
  3. Step 3: Cross multiply
    435,854.60x = 654,012.30 × 199,233.80
  4. Step 4: Simplify right side
    435,854.60x = 130,301,355,775.74
  5. Step 5: Solve for x
    x = 130,301,355,775.74/435,854.60
  6. Step 6: Final answer
    x = 298,956.02

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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.