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Finding the Fourth Proportional to 232,866.40, 321,390.46 and 142,274.74

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Solution

The fourth proportional to 232,866.40, 321,390.46 and 142,274.74 is: 196,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,866.40 : 321,390.46 = 142,274.74 : x
  2. Step 2: Convert to fraction form
    232,866.40/321,390.46 = 142,274.74/x
  3. Step 3: Cross multiply
    232,866.40x = 321,390.46 × 142,274.74
  4. Step 4: Simplify right side
    232,866.40x = 45,725,744,134.98
  5. Step 5: Solve for x
    x = 45,725,744,134.98/232,866.40
  6. Step 6: Final answer
    x = 196,360.42

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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.