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Finding the Fourth Proportional to 489,751.93, 734,911.52 and 205,417.18

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Solution

The fourth proportional to 489,751.93, 734,911.52 and 205,417.18 is: 308,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,751.93 : 734,911.52 = 205,417.18 : x
  2. Step 2: Convert to fraction form
    489,751.93/734,911.52 = 205,417.18/x
  3. Step 3: Cross multiply
    489,751.93x = 734,911.52 × 205,417.18
  4. Step 4: Simplify right side
    489,751.93x = 150,963,451,987.91
  5. Step 5: Solve for x
    x = 150,963,451,987.91/489,751.93
  6. Step 6: Final answer
    x = 308,244.73

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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.