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Finding the Fourth Proportional to 231,460.48, 319,420.80 and 130,864

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Solution

The fourth proportional to 231,460.48, 319,420.80 and 130,864 is: 180,595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,460.48 : 319,420.80 = 130,864 : x
  2. Step 2: Convert to fraction form
    231,460.48/319,420.80 = 130,864/x
  3. Step 3: Cross multiply
    231,460.48x = 319,420.80 × 130,864
  4. Step 4: Simplify right side
    231,460.48x = 41,800,683,571.20
  5. Step 5: Solve for x
    x = 41,800,683,571.20/231,460.48
  6. Step 6: Final answer
    x = 180,595.34

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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.