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Finding the Fourth Proportional to 289,079.60, 433,360.20 and 257,586.80

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Solution

The fourth proportional to 289,079.60, 433,360.20 and 257,586.80 is: 386,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,079.60 : 433,360.20 = 257,586.80 : x
  2. Step 2: Convert to fraction form
    289,079.60/433,360.20 = 257,586.80/x
  3. Step 3: Cross multiply
    289,079.60x = 433,360.20 × 257,586.80
  4. Step 4: Simplify right side
    289,079.60x = 111,627,867,165.36
  5. Step 5: Solve for x
    x = 111,627,867,165.36/289,079.60
  6. Step 6: Final answer
    x = 386,149.24

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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.