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Finding the Fourth Proportional to 346,668, 520,002 and 84,012

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Solution

The fourth proportional to 346,668, 520,002 and 84,012 is: 126,018

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,668 : 520,002 = 84,012 : x
  2. Step 2: Convert to fraction form
    346,668/520,002 = 84,012/x
  3. Step 3: Cross multiply
    346,668x = 520,002 × 84,012
  4. Step 4: Simplify right side
    346,668x = 43,686,408,024
  5. Step 5: Solve for x
    x = 43,686,408,024/346,668
  6. Step 6: Final answer
    x = 126,018

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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.