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Finding the Fourth Proportional to 289,025.30, 433,365.15 and 149,057.30

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Solution

The fourth proportional to 289,025.30, 433,365.15 and 149,057.30 is: 223,496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,025.30 : 433,365.15 = 149,057.30 : x
  2. Step 2: Convert to fraction form
    289,025.30/433,365.15 = 149,057.30/x
  3. Step 3: Cross multiply
    289,025.30x = 433,365.15 × 149,057.30
  4. Step 4: Simplify right side
    289,025.30x = 64,596,239,173.10
  5. Step 5: Solve for x
    x = 64,596,239,173.10/289,025.30
  6. Step 6: Final answer
    x = 223,496.83

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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.