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Finding the Fourth Proportional to 319,290.35, 478,393.52 and 192,664.49

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Solution

The fourth proportional to 319,290.35, 478,393.52 and 192,664.49 is: 288,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,290.35 : 478,393.52 = 192,664.49 : x
  2. Step 2: Convert to fraction form
    319,290.35/478,393.52 = 192,664.49/x
  3. Step 3: Cross multiply
    319,290.35x = 478,393.52 × 192,664.49
  4. Step 4: Simplify right side
    319,290.35x = 92,169,440,194.81
  5. Step 5: Solve for x
    x = 92,169,440,194.81/319,290.35
  6. Step 6: Final answer
    x = 288,669.68

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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.