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Finding the Fourth Proportional to 500,115, 750,172.50 and 149,907

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Solution

The fourth proportional to 500,115, 750,172.50 and 149,907 is: 224,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,115 : 750,172.50 = 149,907 : x
  2. Step 2: Convert to fraction form
    500,115/750,172.50 = 149,907/x
  3. Step 3: Cross multiply
    500,115x = 750,172.50 × 149,907
  4. Step 4: Simplify right side
    500,115x = 112,456,108,957.50
  5. Step 5: Solve for x
    x = 112,456,108,957.50/500,115
  6. Step 6: Final answer
    x = 224,860.50

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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.