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Finding the Fourth Proportional to 286,605.64, 429,907.96 and 76,243.58

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Solution

The fourth proportional to 286,605.64, 429,907.96 and 76,243.58 is: 114,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,605.64 : 429,907.96 = 76,243.58 : x
  2. Step 2: Convert to fraction form
    286,605.64/429,907.96 = 76,243.58/x
  3. Step 3: Cross multiply
    286,605.64x = 429,907.96 × 76,243.58
  4. Step 4: Simplify right side
    286,605.64x = 32,777,721,069.95
  5. Step 5: Solve for x
    x = 32,777,721,069.95/286,605.64
  6. Step 6: Final answer
    x = 114,365.23

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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.