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Finding the Fourth Proportional to 286,202.53, 429,333.19 and 75,840.47

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Solution

The fourth proportional to 286,202.53, 429,333.19 and 75,840.47 is: 113,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,202.53 : 429,333.19 = 75,840.47 : x
  2. Step 2: Convert to fraction form
    286,202.53/429,333.19 = 75,840.47/x
  3. Step 3: Cross multiply
    286,202.53x = 429,333.19 × 75,840.47
  4. Step 4: Simplify right side
    286,202.53x = 32,560,830,616.53
  5. Step 5: Solve for x
    x = 32,560,830,616.53/286,202.53
  6. Step 6: Final answer
    x = 113,768.49

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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.