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Finding the Fourth Proportional to 289,359.75, 433,514.74 and 213,645.81

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Solution

The fourth proportional to 289,359.75, 433,514.74 and 213,645.81 is: 320,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,359.75 : 433,514.74 = 213,645.81 : x
  2. Step 2: Convert to fraction form
    289,359.75/433,514.74 = 213,645.81/x
  3. Step 3: Cross multiply
    289,359.75x = 433,514.74 × 213,645.81
  4. Step 4: Simplify right side
    289,359.75x = 92,618,607,774.24
  5. Step 5: Solve for x
    x = 92,618,607,774.24/289,359.75
  6. Step 6: Final answer
    x = 320,081.17

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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.