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Finding the Fourth Proportional to 299,009.34, 448,514.01 and 205,230.78

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Solution

The fourth proportional to 299,009.34, 448,514.01 and 205,230.78 is: 307,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,009.34 : 448,514.01 = 205,230.78 : x
  2. Step 2: Convert to fraction form
    299,009.34/448,514.01 = 205,230.78/x
  3. Step 3: Cross multiply
    299,009.34x = 448,514.01 × 205,230.78
  4. Step 4: Simplify right side
    299,009.34x = 92,048,880,113.23
  5. Step 5: Solve for x
    x = 92,048,880,113.23/299,009.34
  6. Step 6: Final answer
    x = 307,846.17

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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.