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Finding the Fourth Proportional to 309,725.56, 464,719.02 and 169,320.16

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Solution

The fourth proportional to 309,725.56, 464,719.02 and 169,320.16 is: 254,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,725.56 : 464,719.02 = 169,320.16 : x
  2. Step 2: Convert to fraction form
    309,725.56/464,719.02 = 169,320.16/x
  3. Step 3: Cross multiply
    309,725.56x = 464,719.02 × 169,320.16
  4. Step 4: Simplify right side
    309,725.56x = 78,686,298,821.44
  5. Step 5: Solve for x
    x = 78,686,298,821.44/309,725.56
  6. Step 6: Final answer
    x = 254,051.68

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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.