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Finding the Fourth Proportional to 489,077.80, 733,616.70 and 347,360.20

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Solution

The fourth proportional to 489,077.80, 733,616.70 and 347,360.20 is: 521,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,077.80 : 733,616.70 = 347,360.20 : x
  2. Step 2: Convert to fraction form
    489,077.80/733,616.70 = 347,360.20/x
  3. Step 3: Cross multiply
    489,077.80x = 733,616.70 × 347,360.20
  4. Step 4: Simplify right side
    489,077.80x = 254,829,243,635.34
  5. Step 5: Solve for x
    x = 254,829,243,635.34/489,077.80
  6. Step 6: Final answer
    x = 521,040.30

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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.