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Finding the Fourth Proportional to 268,909.60, 403,364.40 and 257,099.80

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Solution

The fourth proportional to 268,909.60, 403,364.40 and 257,099.80 is: 385,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,909.60 : 403,364.40 = 257,099.80 : x
  2. Step 2: Convert to fraction form
    268,909.60/403,364.40 = 257,099.80/x
  3. Step 3: Cross multiply
    268,909.60x = 403,364.40 × 257,099.80
  4. Step 4: Simplify right side
    268,909.60x = 103,704,906,567.12
  5. Step 5: Solve for x
    x = 103,704,906,567.12/268,909.60
  6. Step 6: Final answer
    x = 385,649.70

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1.5x scale

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.