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Finding the Fourth Proportional to 354,034.72, 489,045.36 and 328,840.48

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Solution

The fourth proportional to 354,034.72, 489,045.36 and 328,840.48 is: 454,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,034.72 : 489,045.36 = 328,840.48 : x
  2. Step 2: Convert to fraction form
    354,034.72/489,045.36 = 328,840.48/x
  3. Step 3: Cross multiply
    354,034.72x = 489,045.36 × 328,840.48
  4. Step 4: Simplify right side
    354,034.72x = 160,817,910,924.17
  5. Step 5: Solve for x
    x = 160,817,910,924.17/354,034.72
  6. Step 6: Final answer
    x = 454,243.33

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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.