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Finding the Fourth Proportional to 489,725.60, 733,810.80 and 410,410.40

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Solution

The fourth proportional to 489,725.60, 733,810.80 and 410,410.40 is: 614,963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,725.60 : 733,810.80 = 410,410.40 : x
  2. Step 2: Convert to fraction form
    489,725.60/733,810.80 = 410,410.40/x
  3. Step 3: Cross multiply
    489,725.60x = 733,810.80 × 410,410.40
  4. Step 4: Simplify right side
    489,725.60x = 301,163,583,952.32
  5. Step 5: Solve for x
    x = 301,163,583,952.32/489,725.60
  6. Step 6: Final answer
    x = 614,963.94

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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.