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Finding the Fourth Proportional to 288,973.98, 398,864.22 and 168,138.60

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Solution

The fourth proportional to 288,973.98, 398,864.22 and 168,138.60 is: 232,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,973.98 : 398,864.22 = 168,138.60 : x
  2. Step 2: Convert to fraction form
    288,973.98/398,864.22 = 168,138.60/x
  3. Step 3: Cross multiply
    288,973.98x = 398,864.22 × 168,138.60
  4. Step 4: Simplify right side
    288,973.98x = 67,064,471,540.89
  5. Step 5: Solve for x
    x = 67,064,471,540.89/288,973.98
  6. Step 6: Final answer
    x = 232,077.89

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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.