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Finding the Fourth Proportional to 489,243.20, 733,864.80 and 209,307.20

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Solution

The fourth proportional to 489,243.20, 733,864.80 and 209,307.20 is: 313,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,243.20 : 733,864.80 = 209,307.20 : x
  2. Step 2: Convert to fraction form
    489,243.20/733,864.80 = 209,307.20/x
  3. Step 3: Cross multiply
    489,243.20x = 733,864.80 × 209,307.20
  4. Step 4: Simplify right side
    489,243.20x = 153,603,186,466.56
  5. Step 5: Solve for x
    x = 153,603,186,466.56/489,243.20
  6. Step 6: Final answer
    x = 313,960.80

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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.