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Finding the Fourth Proportional to 386,710.99, 580,094.42 and 161,845.16

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Solution

The fourth proportional to 386,710.99, 580,094.42 and 161,845.16 is: 242,779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,710.99 : 580,094.42 = 161,845.16 : x
  2. Step 2: Convert to fraction form
    386,710.99/580,094.42 = 161,845.16/x
  3. Step 3: Cross multiply
    386,710.99x = 580,094.42 × 161,845.16
  4. Step 4: Simplify right side
    386,710.99x = 93,885,474,220.01
  5. Step 5: Solve for x
    x = 93,885,474,220.01/386,710.99
  6. Step 6: Final answer
    x = 242,779.43

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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.