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Finding the Fourth Proportional to 489,726.13, 733,554.31 and 309,718.96

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Solution

The fourth proportional to 489,726.13, 733,554.31 and 309,718.96 is: 463,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,726.13 : 733,554.31 = 309,718.96 : x
  2. Step 2: Convert to fraction form
    489,726.13/733,554.31 = 309,718.96/x
  3. Step 3: Cross multiply
    489,726.13x = 733,554.31 × 309,718.96
  4. Step 4: Simplify right side
    489,726.13x = 227,195,677,996.72
  5. Step 5: Solve for x
    x = 227,195,677,996.72/489,726.13
  6. Step 6: Final answer
    x = 463,923.94

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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.