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Finding the Fourth Proportional to 386,009.45, 578,816.67 and 161,308.52

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Solution

The fourth proportional to 386,009.45, 578,816.67 and 161,308.52 is: 241,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,009.45 : 578,816.67 = 161,308.52 : x
  2. Step 2: Convert to fraction form
    386,009.45/578,816.67 = 161,308.52/x
  3. Step 3: Cross multiply
    386,009.45x = 578,816.67 × 161,308.52
  4. Step 4: Simplify right side
    386,009.45x = 93,368,060,389.03
  5. Step 5: Solve for x
    x = 93,368,060,389.03/386,009.45
  6. Step 6: Final answer
    x = 241,880.25

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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.