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Finding the Fourth Proportional to 288,608.63, 398,280.42 and 161,284.21

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Solution

The fourth proportional to 288,608.63, 398,280.42 and 161,284.21 is: 222,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,608.63 : 398,280.42 = 161,284.21 : x
  2. Step 2: Convert to fraction form
    288,608.63/398,280.42 = 161,284.21/x
  3. Step 3: Cross multiply
    288,608.63x = 398,280.42 × 161,284.21
  4. Step 4: Simplify right side
    288,608.63x = 64,236,342,898.17
  5. Step 5: Solve for x
    x = 64,236,342,898.17/288,608.63
  6. Step 6: Final answer
    x = 222,572.50

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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.