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Finding the Fourth Proportional to 354,020.48, 489,169.69 and 282,986.72

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Solution

The fourth proportional to 354,020.48, 489,169.69 and 282,986.72 is: 391,018.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,020.48 : 489,169.69 = 282,986.72 : x
  2. Step 2: Convert to fraction form
    354,020.48/489,169.69 = 282,986.72/x
  3. Step 3: Cross multiply
    354,020.48x = 489,169.69 × 282,986.72
  4. Step 4: Simplify right side
    354,020.48x = 138,428,522,943.20
  5. Step 5: Solve for x
    x = 138,428,522,943.20/354,020.48
  6. Step 6: Final answer
    x = 391,018.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.