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Finding the Fourth Proportional to 301,345.38, 415,829.12 and 178,816.64

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Solution

The fourth proportional to 301,345.38, 415,829.12 and 178,816.64 is: 246,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,345.38 : 415,829.12 = 178,816.64 : x
  2. Step 2: Convert to fraction form
    301,345.38/415,829.12 = 178,816.64/x
  3. Step 3: Cross multiply
    301,345.38x = 415,829.12 × 178,816.64
  4. Step 4: Simplify right side
    301,345.38x = 74,357,166,052.56
  5. Step 5: Solve for x
    x = 74,357,166,052.56/301,345.38
  6. Step 6: Final answer
    x = 246,750.64

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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.