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Finding the Fourth Proportional to 385,774.85, 578,450.86 and 119,461.43

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Solution

The fourth proportional to 385,774.85, 578,450.86 and 119,461.43 is: 179,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,774.85 : 578,450.86 = 119,461.43 : x
  2. Step 2: Convert to fraction form
    385,774.85/578,450.86 = 119,461.43/x
  3. Step 3: Cross multiply
    385,774.85x = 578,450.86 × 119,461.43
  4. Step 4: Simplify right side
    385,774.85x = 69,102,566,920.33
  5. Step 5: Solve for x
    x = 69,102,566,920.33/385,774.85
  6. Step 6: Final answer
    x = 179,126.68

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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.