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Finding the Fourth Proportional to 429,408.08, 644,112.14 and 133,920.08

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Solution

The fourth proportional to 429,408.08, 644,112.14 and 133,920.08 is: 200,880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,408.08 : 644,112.14 = 133,920.08 : x
  2. Step 2: Convert to fraction form
    429,408.08/644,112.14 = 133,920.08/x
  3. Step 3: Cross multiply
    429,408.08x = 644,112.14 × 133,920.08
  4. Step 4: Simplify right side
    429,408.08x = 86,259,549,317.77
  5. Step 5: Solve for x
    x = 86,259,549,317.77/429,408.08
  6. Step 6: Final answer
    x = 200,880.13

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1.5x scale

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.