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Finding the Fourth Proportional to 301,001.81, 415,390.43 and 170,169.05

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Solution

The fourth proportional to 301,001.81, 415,390.43 and 170,169.05 is: 234,837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,001.81 : 415,390.43 = 170,169.05 : x
  2. Step 2: Convert to fraction form
    301,001.81/415,390.43 = 170,169.05/x
  3. Step 3: Cross multiply
    301,001.81x = 415,390.43 × 170,169.05
  4. Step 4: Simplify right side
    301,001.81x = 70,686,594,001.35
  5. Step 5: Solve for x
    x = 70,686,594,001.35/301,001.81
  6. Step 6: Final answer
    x = 234,837.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.