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Finding the Fourth Proportional to 394,698.72, 592,078.86 and 142,012.20

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Solution

The fourth proportional to 394,698.72, 592,078.86 and 142,012.20 is: 213,029.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,698.72 : 592,078.86 = 142,012.20 : x
  2. Step 2: Convert to fraction form
    394,698.72/592,078.86 = 142,012.20/x
  3. Step 3: Cross multiply
    394,698.72x = 592,078.86 × 142,012.20
  4. Step 4: Simplify right side
    394,698.72x = 84,082,421,482.09
  5. Step 5: Solve for x
    x = 84,082,421,482.09/394,698.72
  6. Step 6: Final answer
    x = 213,029.37

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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.