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Finding the Fourth Proportional to 489,737.60, 733,828.80 and 410,422.40

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Solution

The fourth proportional to 489,737.60, 733,828.80 and 410,422.40 is: 614,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,737.60 : 733,828.80 = 410,422.40 : x
  2. Step 2: Convert to fraction form
    489,737.60/733,828.80 = 410,422.40/x
  3. Step 3: Cross multiply
    489,737.60x = 733,828.80 × 410,422.40
  4. Step 4: Simplify right side
    489,737.60x = 301,179,777,285.12
  5. Step 5: Solve for x
    x = 301,179,777,285.12/489,737.60
  6. Step 6: Final answer
    x = 614,981.94

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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.