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Finding the Fourth Proportional to 328,073.32, 492,109.98 and 78,755.32

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Solution

The fourth proportional to 328,073.32, 492,109.98 and 78,755.32 is: 118,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,073.32 : 492,109.98 = 78,755.32 : x
  2. Step 2: Convert to fraction form
    328,073.32/492,109.98 = 78,755.32/x
  3. Step 3: Cross multiply
    328,073.32x = 492,109.98 × 78,755.32
  4. Step 4: Simplify right side
    328,073.32x = 38,756,278,950.09
  5. Step 5: Solve for x
    x = 38,756,278,950.09/328,073.32
  6. Step 6: Final answer
    x = 118,132.98

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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.