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Finding the Fourth Proportional to 457,323.37, 686,020.59 and 137,450.32

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Solution

The fourth proportional to 457,323.37, 686,020.59 and 137,450.32 is: 206,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,323.37 : 686,020.59 = 137,450.32 : x
  2. Step 2: Convert to fraction form
    457,323.37/686,020.59 = 137,450.32/x
  3. Step 3: Cross multiply
    457,323.37x = 686,020.59 × 137,450.32
  4. Step 4: Simplify right side
    457,323.37x = 94,293,747,907.04
  5. Step 5: Solve for x
    x = 94,293,747,907.04/457,323.37
  6. Step 6: Final answer
    x = 206,186.16

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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.