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Finding the Fourth Proportional to 205,027.40, 307,541.10 and 188,438.60

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Solution

The fourth proportional to 205,027.40, 307,541.10 and 188,438.60 is: 282,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,027.40 : 307,541.10 = 188,438.60 : x
  2. Step 2: Convert to fraction form
    205,027.40/307,541.10 = 188,438.60/x
  3. Step 3: Cross multiply
    205,027.40x = 307,541.10 × 188,438.60
  4. Step 4: Simplify right side
    205,027.40x = 57,952,614,326.46
  5. Step 5: Solve for x
    x = 57,952,614,326.46/205,027.40
  6. Step 6: Final answer
    x = 282,657.90

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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.