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Finding the Fourth Proportional to 315,589.56, 473,384.40 and 78,932.26

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Solution

The fourth proportional to 315,589.56, 473,384.40 and 78,932.26 is: 118,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,589.56 : 473,384.40 = 78,932.26 : x
  2. Step 2: Convert to fraction form
    315,589.56/473,384.40 = 78,932.26/x
  3. Step 3: Cross multiply
    315,589.56x = 473,384.40 × 78,932.26
  4. Step 4: Simplify right side
    315,589.56x = 37,365,300,540.74
  5. Step 5: Solve for x
    x = 37,365,300,540.74/315,589.56
  6. Step 6: Final answer
    x = 118,398.41

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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.