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Finding the Fourth Proportional to 288,607.40, 398,277.06 and 161,282.96

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Solution

The fourth proportional to 288,607.40, 398,277.06 and 161,282.96 is: 222,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,607.40 : 398,277.06 = 161,282.96 : x
  2. Step 2: Convert to fraction form
    288,607.40/398,277.06 = 161,282.96/x
  3. Step 3: Cross multiply
    288,607.40x = 398,277.06 × 161,282.96
  4. Step 4: Simplify right side
    288,607.40x = 64,235,303,136.90
  5. Step 5: Solve for x
    x = 64,235,303,136.90/288,607.40
  6. Step 6: Final answer
    x = 222,569.84

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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.