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Finding the Fourth Proportional to 462,638.88, 638,433.36 and 261,430.56

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Solution

The fourth proportional to 462,638.88, 638,433.36 and 261,430.56 is: 360,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,638.88 : 638,433.36 = 261,430.56 : x
  2. Step 2: Convert to fraction form
    462,638.88/638,433.36 = 261,430.56/x
  3. Step 3: Cross multiply
    462,638.88x = 638,433.36 × 261,430.56
  4. Step 4: Simplify right side
    462,638.88x = 166,905,990,827.48
  5. Step 5: Solve for x
    x = 166,905,990,827.48/462,638.88
  6. Step 6: Final answer
    x = 360,769.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.