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Finding the Fourth Proportional to 238,423.97, 357,564.61 and 78,470.37

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Solution

The fourth proportional to 238,423.97, 357,564.61 and 78,470.37 is: 117,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,423.97 : 357,564.61 = 78,470.37 : x
  2. Step 2: Convert to fraction form
    238,423.97/357,564.61 = 78,470.37/x
  3. Step 3: Cross multiply
    238,423.97x = 357,564.61 × 78,470.37
  4. Step 4: Simplify right side
    238,423.97x = 28,058,228,335.69
  5. Step 5: Solve for x
    x = 28,058,228,335.69/238,423.97
  6. Step 6: Final answer
    x = 117,682.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.