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Finding the Fourth Proportional to 205,638.40, 307,766.40 and 143,430.40

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Solution

The fourth proportional to 205,638.40, 307,766.40 and 143,430.40 is: 214,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,638.40 : 307,766.40 = 143,430.40 : x
  2. Step 2: Convert to fraction form
    205,638.40/307,766.40 = 143,430.40/x
  3. Step 3: Cross multiply
    205,638.40x = 307,766.40 × 143,430.40
  4. Step 4: Simplify right side
    205,638.40x = 44,143,057,858.56
  5. Step 5: Solve for x
    x = 44,143,057,858.56/205,638.40
  6. Step 6: Final answer
    x = 214,663.50

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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.