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Finding the Fourth Proportional to 320,754.85, 480,992.14 and 152,323.45

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Solution

The fourth proportional to 320,754.85, 480,992.14 and 152,323.45 is: 228,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,754.85 : 480,992.14 = 152,323.45 : x
  2. Step 2: Convert to fraction form
    320,754.85/480,992.14 = 152,323.45/x
  3. Step 3: Cross multiply
    320,754.85x = 480,992.14 × 152,323.45
  4. Step 4: Simplify right side
    320,754.85x = 73,266,381,175.61
  5. Step 5: Solve for x
    x = 73,266,381,175.61/320,754.85
  6. Step 6: Final answer
    x = 228,418.62

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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.