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Finding the Fourth Proportional to 489,388.10, 734,045.70 and 205,005.20

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Solution

The fourth proportional to 489,388.10, 734,045.70 and 205,005.20 is: 307,492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,388.10 : 734,045.70 = 205,005.20 : x
  2. Step 2: Convert to fraction form
    489,388.10/734,045.70 = 205,005.20/x
  3. Step 3: Cross multiply
    489,388.10x = 734,045.70 × 205,005.20
  4. Step 4: Simplify right side
    489,388.10x = 150,483,185,537.64
  5. Step 5: Solve for x
    x = 150,483,185,537.64/489,388.10
  6. Step 6: Final answer
    x = 307,492.53

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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.