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Finding the Fourth Proportional to 288,014.96, 397,479.75 and 160,693.31

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Solution

The fourth proportional to 288,014.96, 397,479.75 and 160,693.31 is: 221,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,014.96 : 397,479.75 = 160,693.31 : x
  2. Step 2: Convert to fraction form
    288,014.96/397,479.75 = 160,693.31/x
  3. Step 3: Cross multiply
    288,014.96x = 397,479.75 × 160,693.31
  4. Step 4: Simplify right side
    288,014.96x = 63,872,336,685.47
  5. Step 5: Solve for x
    x = 63,872,336,685.47/288,014.96
  6. Step 6: Final answer
    x = 221,767.43

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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.