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Finding the Fourth Proportional to 288,601.17, 398,270.16 and 161,276.77

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Solution

The fourth proportional to 288,601.17, 398,270.16 and 161,276.77 is: 222,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,601.17 : 398,270.16 = 161,276.77 : x
  2. Step 2: Convert to fraction form
    288,601.17/398,270.16 = 161,276.77/x
  3. Step 3: Cross multiply
    288,601.17x = 398,270.16 × 161,276.77
  4. Step 4: Simplify right side
    288,601.17x = 64,231,723,996.51
  5. Step 5: Solve for x
    x = 64,231,723,996.51/288,601.17
  6. Step 6: Final answer
    x = 222,562.24

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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.