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Finding the Fourth Proportional to 232,409.88, 320,721.42 and 130,427.34

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Solution

The fourth proportional to 232,409.88, 320,721.42 and 130,427.34 is: 179,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,409.88 : 320,721.42 = 130,427.34 : x
  2. Step 2: Convert to fraction form
    232,409.88/320,721.42 = 130,427.34/x
  3. Step 3: Cross multiply
    232,409.88x = 320,721.42 × 130,427.34
  4. Step 4: Simplify right side
    232,409.88x = 41,830,841,880.05
  5. Step 5: Solve for x
    x = 41,830,841,880.05/232,409.88
  6. Step 6: Final answer
    x = 179,987.36

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1.5x scale

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.