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Finding the Fourth Proportional to 434,998.35, 652,471.56 and 135,436.77

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Solution

The fourth proportional to 434,998.35, 652,471.56 and 135,436.77 is: 203,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,998.35 : 652,471.56 = 135,436.77 : x
  2. Step 2: Convert to fraction form
    434,998.35/652,471.56 = 135,436.77/x
  3. Step 3: Cross multiply
    434,998.35x = 652,471.56 × 135,436.77
  4. Step 4: Simplify right side
    434,998.35x = 88,368,640,603.26
  5. Step 5: Solve for x
    x = 88,368,640,603.26/434,998.35
  6. Step 6: Final answer
    x = 203,147.07

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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.