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Finding the Fourth Proportional to 319,355.61, 478,491.11 and 192,729.77

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Solution

The fourth proportional to 319,355.61, 478,491.11 and 192,729.77 is: 288,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,355.61 : 478,491.11 = 192,729.77 : x
  2. Step 2: Convert to fraction form
    319,355.61/478,491.11 = 192,729.77/x
  3. Step 3: Cross multiply
    319,355.61x = 478,491.11 × 192,729.77
  4. Step 4: Simplify right side
    319,355.61x = 92,219,481,577.34
  5. Step 5: Solve for x
    x = 92,219,481,577.34/319,355.61
  6. Step 6: Final answer
    x = 288,767.38

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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.