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Finding the Fourth Proportional to 232,783.80, 321,283.50 and 137,284.92

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Solution

The fourth proportional to 232,783.80, 321,283.50 and 137,284.92 is: 189,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,783.80 : 321,283.50 = 137,284.92 : x
  2. Step 2: Convert to fraction form
    232,783.80/321,283.50 = 137,284.92/x
  3. Step 3: Cross multiply
    232,783.80x = 321,283.50 × 137,284.92
  4. Step 4: Simplify right side
    232,783.80x = 44,107,379,594.82
  5. Step 5: Solve for x
    x = 44,107,379,594.82/232,783.80
  6. Step 6: Final answer
    x = 189,477.87

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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.