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Finding the Fourth Proportional to 489,172.32, 733,635.36 and 189,550.08

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Solution

The fourth proportional to 489,172.32, 733,635.36 and 189,550.08 is: 284,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,172.32 : 733,635.36 = 189,550.08 : x
  2. Step 2: Convert to fraction form
    489,172.32/733,635.36 = 189,550.08/x
  3. Step 3: Cross multiply
    489,172.32x = 733,635.36 × 189,550.08
  4. Step 4: Simplify right side
    489,172.32x = 139,060,641,178.83
  5. Step 5: Solve for x
    x = 139,060,641,178.83/489,172.32
  6. Step 6: Final answer
    x = 284,277.41

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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.