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Finding the Fourth Proportional to 288,971.80, 433,284.90 and 149,003.80

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Solution

The fourth proportional to 288,971.80, 433,284.90 and 149,003.80 is: 223,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,971.80 : 433,284.90 = 149,003.80 : x
  2. Step 2: Convert to fraction form
    288,971.80/433,284.90 = 149,003.80/x
  3. Step 3: Cross multiply
    288,971.80x = 433,284.90 × 149,003.80
  4. Step 4: Simplify right side
    288,971.80x = 64,561,096,582.62
  5. Step 5: Solve for x
    x = 64,561,096,582.62/288,971.80
  6. Step 6: Final answer
    x = 223,416.60

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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.