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Finding the Fourth Proportional to 300,602, 450,972.12 and 103,610

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Solution

The fourth proportional to 300,602, 450,972.12 and 103,610 is: 155,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,602 : 450,972.12 = 103,610 : x
  2. Step 2: Convert to fraction form
    300,602/450,972.12 = 103,610/x
  3. Step 3: Cross multiply
    300,602x = 450,972.12 × 103,610
  4. Step 4: Simplify right side
    300,602x = 46,725,221,353.20
  5. Step 5: Solve for x
    x = 46,725,221,353.20/300,602
  6. Step 6: Final answer
    x = 155,438.82

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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.