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Finding the Fourth Proportional to 232,409.76, 320,711.24 and 130,417.80

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Solution

The fourth proportional to 232,409.76, 320,711.24 and 130,417.80 is: 179,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,409.76 : 320,711.24 = 130,417.80 : x
  2. Step 2: Convert to fraction form
    232,409.76/320,711.24 = 130,417.80/x
  3. Step 3: Cross multiply
    232,409.76x = 320,711.24 × 130,417.80
  4. Step 4: Simplify right side
    232,409.76x = 41,826,454,356.07
  5. Step 5: Solve for x
    x = 41,826,454,356.07/232,409.76
  6. Step 6: Final answer
    x = 179,968.58

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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.