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Finding the Fourth Proportional to 380,565.72, 570,901.90 and 155,958.08

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Solution

The fourth proportional to 380,565.72, 570,901.90 and 155,958.08 is: 233,958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,565.72 : 570,901.90 = 155,958.08 : x
  2. Step 2: Convert to fraction form
    380,565.72/570,901.90 = 155,958.08/x
  3. Step 3: Cross multiply
    380,565.72x = 570,901.90 × 155,958.08
  4. Step 4: Simplify right side
    380,565.72x = 89,036,764,192.35
  5. Step 5: Solve for x
    x = 89,036,764,192.35/380,565.72
  6. Step 6: Final answer
    x = 233,958.97

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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.