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Finding the Fourth Proportional to 434,601.84, 651,993 and 135,074.16

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Solution

The fourth proportional to 434,601.84, 651,993 and 135,074.16 is: 202,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,601.84 : 651,993 = 135,074.16 : x
  2. Step 2: Convert to fraction form
    434,601.84/651,993 = 135,074.16/x
  3. Step 3: Cross multiply
    434,601.84x = 651,993 × 135,074.16
  4. Step 4: Simplify right side
    434,601.84x = 88,067,406,800.88
  5. Step 5: Solve for x
    x = 88,067,406,800.88/434,601.84
  6. Step 6: Final answer
    x = 202,639.29

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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.