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Finding the Fourth Proportional to 300,601, 450,970.62 and 103,609

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Solution

The fourth proportional to 300,601, 450,970.62 and 103,609 is: 155,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,601 : 450,970.62 = 103,609 : x
  2. Step 2: Convert to fraction form
    300,601/450,970.62 = 103,609/x
  3. Step 3: Cross multiply
    300,601x = 450,970.62 × 103,609
  4. Step 4: Simplify right side
    300,601x = 46,724,614,967.58
  5. Step 5: Solve for x
    x = 46,724,614,967.58/300,601
  6. Step 6: Final answer
    x = 155,437.32

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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.