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Finding the Fourth Proportional to 385,803.82, 578,705.79 and 161,041.64

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Solution

The fourth proportional to 385,803.82, 578,705.79 and 161,041.64 is: 241,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,803.82 : 578,705.79 = 161,041.64 : x
  2. Step 2: Convert to fraction form
    385,803.82/578,705.79 = 161,041.64/x
  3. Step 3: Cross multiply
    385,803.82x = 578,705.79 × 161,041.64
  4. Step 4: Simplify right side
    385,803.82x = 93,195,729,499.10
  5. Step 5: Solve for x
    x = 93,195,729,499.10/385,803.82
  6. Step 6: Final answer
    x = 241,562.49

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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.