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Finding the Fourth Proportional to 434,662.93, 651,990.84 and 135,142.93

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Solution

The fourth proportional to 434,662.93, 651,990.84 and 135,142.93 is: 202,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,662.93 : 651,990.84 = 135,142.93 : x
  2. Step 2: Convert to fraction form
    434,662.93/651,990.84 = 135,142.93/x
  3. Step 3: Cross multiply
    434,662.93x = 651,990.84 × 135,142.93
  4. Step 4: Simplify right side
    434,662.93x = 88,111,952,450.76
  5. Step 5: Solve for x
    x = 88,111,952,450.76/434,662.93
  6. Step 6: Final answer
    x = 202,713.29

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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.