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Finding the Fourth Proportional to 385,816.80, 578,725.22 and 161,054.64

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Solution

The fourth proportional to 385,816.80, 578,725.22 and 161,054.64 is: 241,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,816.80 : 578,725.22 = 161,054.64 : x
  2. Step 2: Convert to fraction form
    385,816.80/578,725.22 = 161,054.64/x
  3. Step 3: Cross multiply
    385,816.80x = 578,725.22 × 161,054.64
  4. Step 4: Simplify right side
    385,816.80x = 93,206,381,966.02
  5. Step 5: Solve for x
    x = 93,206,381,966.02/385,816.80
  6. Step 6: Final answer
    x = 241,581.97

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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.