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Finding the Fourth Proportional to 286,362.76, 429,558.96 and 73,132.66

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Solution

The fourth proportional to 286,362.76, 429,558.96 and 73,132.66 is: 109,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,362.76 : 429,558.96 = 73,132.66 : x
  2. Step 2: Convert to fraction form
    286,362.76/429,558.96 = 73,132.66/x
  3. Step 3: Cross multiply
    286,362.76x = 429,558.96 × 73,132.66
  4. Step 4: Simplify right side
    286,362.76x = 31,414,789,371.63
  5. Step 5: Solve for x
    x = 31,414,789,371.63/286,362.76
  6. Step 6: Final answer
    x = 109,702.77

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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.