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Finding the Fourth Proportional to 421,370.81, 632,116.19 and 136,969.93

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Solution

The fourth proportional to 421,370.81, 632,116.19 and 136,969.93 is: 205,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,370.81 : 632,116.19 = 136,969.93 : x
  2. Step 2: Convert to fraction form
    421,370.81/632,116.19 = 136,969.93/x
  3. Step 3: Cross multiply
    421,370.81x = 632,116.19 × 136,969.93
  4. Step 4: Simplify right side
    421,370.81x = 86,580,910,296.17
  5. Step 5: Solve for x
    x = 86,580,910,296.17/421,370.81
  6. Step 6: Final answer
    x = 205,474.39

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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.