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Finding the Fourth Proportional to 385,809.78, 578,714.73 and 161,047.62

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Solution

The fourth proportional to 385,809.78, 578,714.73 and 161,047.62 is: 241,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,809.78 : 578,714.73 = 161,047.62 : x
  2. Step 2: Convert to fraction form
    385,809.78/578,714.73 = 161,047.62/x
  3. Step 3: Cross multiply
    385,809.78x = 578,714.73 × 161,047.62
  4. Step 4: Simplify right side
    385,809.78x = 93,200,629,925.44
  5. Step 5: Solve for x
    x = 93,200,629,925.44/385,809.78
  6. Step 6: Final answer
    x = 241,571.46

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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.