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Finding the Fourth Proportional to 330,427.68, 495,699.84 and 105,827.64

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Solution

The fourth proportional to 330,427.68, 495,699.84 and 105,827.64 is: 158,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,427.68 : 495,699.84 = 105,827.64 : x
  2. Step 2: Convert to fraction form
    330,427.68/495,699.84 = 105,827.64/x
  3. Step 3: Cross multiply
    330,427.68x = 495,699.84 × 105,827.64
  4. Step 4: Simplify right side
    330,427.68x = 52,458,744,215.58
  5. Step 5: Solve for x
    x = 52,458,744,215.58/330,427.68
  6. Step 6: Final answer
    x = 158,760.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.