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Finding the Fourth Proportional to 421,352.53, 632,091.82 and 155,092.77

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Solution

The fourth proportional to 421,352.53, 632,091.82 and 155,092.77 is: 232,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,352.53 : 632,091.82 = 155,092.77 : x
  2. Step 2: Convert to fraction form
    421,352.53/632,091.82 = 155,092.77/x
  3. Step 3: Cross multiply
    421,352.53x = 632,091.82 × 155,092.77
  4. Step 4: Simplify right side
    421,352.53x = 98,032,870,870.41
  5. Step 5: Solve for x
    x = 98,032,870,870.41/421,352.53
  6. Step 6: Final answer
    x = 232,662.35

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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.