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Finding the Fourth Proportional to 288,059.42, 397,709.25 and 257,792.71

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Solution

The fourth proportional to 288,059.42, 397,709.25 and 257,792.71 is: 355,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,059.42 : 397,709.25 = 257,792.71 : x
  2. Step 2: Convert to fraction form
    288,059.42/397,709.25 = 257,792.71/x
  3. Step 3: Cross multiply
    288,059.42x = 397,709.25 × 257,792.71
  4. Step 4: Simplify right side
    288,059.42x = 102,526,546,366.34
  5. Step 5: Solve for x
    x = 102,526,546,366.34/288,059.42
  6. Step 6: Final answer
    x = 355,921.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.