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Finding the Fourth Proportional to 338,712, 508,408.19 and 301,008.12

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Solution

The fourth proportional to 338,712, 508,408.19 and 301,008.12 is: 451,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,712 : 508,408.19 = 301,008.12 : x
  2. Step 2: Convert to fraction form
    338,712/508,408.19 = 301,008.12/x
  3. Step 3: Cross multiply
    338,712x = 508,408.19 × 301,008.12
  4. Step 4: Simplify right side
    338,712x = 153,034,993,464.50
  5. Step 5: Solve for x
    x = 153,034,993,464.50/338,712
  6. Step 6: Final answer
    x = 451,814.50

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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.