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Finding the Fourth Proportional to 330,342.57, 495,587.70 and 105,716.48

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Solution

The fourth proportional to 330,342.57, 495,587.70 and 105,716.48 is: 158,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,342.57 : 495,587.70 = 105,716.48 : x
  2. Step 2: Convert to fraction form
    330,342.57/495,587.70 = 105,716.48/x
  3. Step 3: Cross multiply
    330,342.57x = 495,587.70 × 105,716.48
  4. Step 4: Simplify right side
    330,342.57x = 52,391,784,697.36
  5. Step 5: Solve for x
    x = 52,391,784,697.36/330,342.57
  6. Step 6: Final answer
    x = 158,598.34

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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.