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Finding the Fourth Proportional to 430,894.89, 646,064.71 and 206,249.90

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Solution

The fourth proportional to 430,894.89, 646,064.71 and 206,249.90 is: 309,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,894.89 : 646,064.71 = 206,249.90 : x
  2. Step 2: Convert to fraction form
    430,894.89/646,064.71 = 206,249.90/x
  3. Step 3: Cross multiply
    430,894.89x = 646,064.71 × 206,249.90
  4. Step 4: Simplify right side
    430,894.89x = 133,250,778,085.08
  5. Step 5: Solve for x
    x = 133,250,778,085.08/430,894.89
  6. Step 6: Final answer
    x = 309,241.95

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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.