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Finding the Fourth Proportional to 405,418.50, 608,128.02 and 109,930.50

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Solution

The fourth proportional to 405,418.50, 608,128.02 and 109,930.50 is: 164,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,418.50 : 608,128.02 = 109,930.50 : x
  2. Step 2: Convert to fraction form
    405,418.50/608,128.02 = 109,930.50/x
  3. Step 3: Cross multiply
    405,418.50x = 608,128.02 × 109,930.50
  4. Step 4: Simplify right side
    405,418.50x = 66,851,817,302.61
  5. Step 5: Solve for x
    x = 66,851,817,302.61/405,418.50
  6. Step 6: Final answer
    x = 164,895.82

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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.