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Finding the Fourth Proportional to 309,896.61, 465,094.05 and 160,180.77

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Solution

The fourth proportional to 309,896.61, 465,094.05 and 160,180.77 is: 240,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,896.61 : 465,094.05 = 160,180.77 : x
  2. Step 2: Convert to fraction form
    309,896.61/465,094.05 = 160,180.77/x
  3. Step 3: Cross multiply
    309,896.61x = 465,094.05 × 160,180.77
  4. Step 4: Simplify right side
    309,896.61x = 74,499,123,051.42
  5. Step 5: Solve for x
    x = 74,499,123,051.42/309,896.61
  6. Step 6: Final answer
    x = 240,399.93

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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.