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Finding the Fourth Proportional to 385,805.85, 578,497.36 and 119,492.43

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Solution

The fourth proportional to 385,805.85, 578,497.36 and 119,492.43 is: 179,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,805.85 : 578,497.36 = 119,492.43 : x
  2. Step 2: Convert to fraction form
    385,805.85/578,497.36 = 119,492.43/x
  3. Step 3: Cross multiply
    385,805.85x = 578,497.36 × 119,492.43
  4. Step 4: Simplify right side
    385,805.85x = 69,126,055,294.98
  5. Step 5: Solve for x
    x = 69,126,055,294.98/385,805.85
  6. Step 6: Final answer
    x = 179,173.17

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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.