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Finding the Fourth Proportional to 380,379.08, 570,675.28 and 152,834.48

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Solution

The fourth proportional to 380,379.08, 570,675.28 and 152,834.48 is: 229,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,379.08 : 570,675.28 = 152,834.48 : x
  2. Step 2: Convert to fraction form
    380,379.08/570,675.28 = 152,834.48/x
  3. Step 3: Cross multiply
    380,379.08x = 570,675.28 × 152,834.48
  4. Step 4: Simplify right side
    380,379.08x = 87,218,859,667.65
  5. Step 5: Solve for x
    x = 87,218,859,667.65/380,379.08
  6. Step 6: Final answer
    x = 229,294.58

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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.