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Finding the Fourth Proportional to 489,866.88, 735,072.48 and 265,224

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Solution

The fourth proportional to 489,866.88, 735,072.48 and 265,224 is: 397,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,866.88 : 735,072.48 = 265,224 : x
  2. Step 2: Convert to fraction form
    489,866.88/735,072.48 = 265,224/x
  3. Step 3: Cross multiply
    489,866.88x = 735,072.48 × 265,224
  4. Step 4: Simplify right side
    489,866.88x = 194,958,863,435.52
  5. Step 5: Solve for x
    x = 194,958,863,435.52/489,866.88
  6. Step 6: Final answer
    x = 397,983.35

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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.