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Finding the Fourth Proportional to 242,241.20, 363,577.80 and 142,276.40

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Solution

The fourth proportional to 242,241.20, 363,577.80 and 142,276.40 is: 213,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,241.20 : 363,577.80 = 142,276.40 : x
  2. Step 2: Convert to fraction form
    242,241.20/363,577.80 = 142,276.40/x
  3. Step 3: Cross multiply
    242,241.20x = 363,577.80 × 142,276.40
  4. Step 4: Simplify right side
    242,241.20x = 51,728,540,503.92
  5. Step 5: Solve for x
    x = 51,728,540,503.92/242,241.20
  6. Step 6: Final answer
    x = 213,541.46

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1.5x scale

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.