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Finding the Fourth Proportional to 385,609.48, 578,199.66 and 119,294.44

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Solution

The fourth proportional to 385,609.48, 578,199.66 and 119,294.44 is: 178,875.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,609.48 : 578,199.66 = 119,294.44 : x
  2. Step 2: Convert to fraction form
    385,609.48/578,199.66 = 119,294.44/x
  3. Step 3: Cross multiply
    385,609.48x = 578,199.66 × 119,294.44
  4. Step 4: Simplify right side
    385,609.48x = 68,976,004,647.89
  5. Step 5: Solve for x
    x = 68,976,004,647.89/385,609.48
  6. Step 6: Final answer
    x = 178,875.28

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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.