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Finding the Fourth Proportional to 330,496.96, 495,656.88 and 143,464

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Solution

The fourth proportional to 330,496.96, 495,656.88 and 143,464 is: 215,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,496.96 : 495,656.88 = 143,464 : x
  2. Step 2: Convert to fraction form
    330,496.96/495,656.88 = 143,464/x
  3. Step 3: Cross multiply
    330,496.96x = 495,656.88 × 143,464
  4. Step 4: Simplify right side
    330,496.96x = 71,108,918,632.32
  5. Step 5: Solve for x
    x = 71,108,918,632.32/330,496.96
  6. Step 6: Final answer
    x = 215,157.56

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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.