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Finding the Fourth Proportional to 288,061.02, 397,711.46 and 257,794.31

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Solution

The fourth proportional to 288,061.02, 397,711.46 and 257,794.31 is: 355,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,061.02 : 397,711.46 = 257,794.31 : x
  2. Step 2: Convert to fraction form
    288,061.02/397,711.46 = 257,794.31/x
  3. Step 3: Cross multiply
    288,061.02x = 397,711.46 × 257,794.31
  4. Step 4: Simplify right side
    288,061.02x = 102,527,748,132.26
  5. Step 5: Solve for x
    x = 102,527,748,132.26/288,061.02
  6. Step 6: Final answer
    x = 355,923.71

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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.