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Finding the Fourth Proportional to 289,213.84, 431,852 and 255,196.36

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Solution

The fourth proportional to 289,213.84, 431,852 and 255,196.36 is: 381,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,213.84 : 431,852 = 255,196.36 : x
  2. Step 2: Convert to fraction form
    289,213.84/431,852 = 255,196.36/x
  3. Step 3: Cross multiply
    289,213.84x = 431,852 × 255,196.36
  4. Step 4: Simplify right side
    289,213.84x = 110,207,058,458.72
  5. Step 5: Solve for x
    x = 110,207,058,458.72/289,213.84
  6. Step 6: Final answer
    x = 381,057.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.