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Finding the Fourth Proportional to 385,514.40, 578,314.80 and 119,272.80

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Solution

The fourth proportional to 385,514.40, 578,314.80 and 119,272.80 is: 178,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,514.40 : 578,314.80 = 119,272.80 : x
  2. Step 2: Convert to fraction form
    385,514.40/578,314.80 = 119,272.80/x
  3. Step 3: Cross multiply
    385,514.40x = 578,314.80 × 119,272.80
  4. Step 4: Simplify right side
    385,514.40x = 68,977,225,477.44
  5. Step 5: Solve for x
    x = 68,977,225,477.44/385,514.40
  6. Step 6: Final answer
    x = 178,922.57

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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.