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Finding the Fourth Proportional to 238,698.36, 329,454 and 151,426.80

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Solution

The fourth proportional to 238,698.36, 329,454 and 151,426.80 is: 209,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,698.36 : 329,454 = 151,426.80 : x
  2. Step 2: Convert to fraction form
    238,698.36/329,454 = 151,426.80/x
  3. Step 3: Cross multiply
    238,698.36x = 329,454 × 151,426.80
  4. Step 4: Simplify right side
    238,698.36x = 49,888,164,967.20
  5. Step 5: Solve for x
    x = 49,888,164,967.20/238,698.36
  6. Step 6: Final answer
    x = 209,000.87

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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.