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Finding the Fourth Proportional to 489,384.10, 734,039.70 and 205,001.20

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Solution

The fourth proportional to 489,384.10, 734,039.70 and 205,001.20 is: 307,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,384.10 : 734,039.70 = 205,001.20 : x
  2. Step 2: Convert to fraction form
    489,384.10/734,039.70 = 205,001.20/x
  3. Step 3: Cross multiply
    489,384.10x = 734,039.70 × 205,001.20
  4. Step 4: Simplify right side
    489,384.10x = 150,479,019,347.64
  5. Step 5: Solve for x
    x = 150,479,019,347.64/489,384.10
  6. Step 6: Final answer
    x = 307,486.53

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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.