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Finding the Fourth Proportional to 288,639.81, 398,323.52 and 161,315.40

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Solution

The fourth proportional to 288,639.81, 398,323.52 and 161,315.40 is: 222,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,639.81 : 398,323.52 = 161,315.40 : x
  2. Step 2: Convert to fraction form
    288,639.81/398,323.52 = 161,315.40/x
  3. Step 3: Cross multiply
    288,639.81x = 398,323.52 × 161,315.40
  4. Step 4: Simplify right side
    288,639.81x = 64,255,717,151.63
  5. Step 5: Solve for x
    x = 64,255,717,151.63/288,639.81
  6. Step 6: Final answer
    x = 222,615.57

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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.