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Finding the Fourth Proportional to 281,216.10, 421,824.15 and 259,564.80

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Solution

The fourth proportional to 281,216.10, 421,824.15 and 259,564.80 is: 389,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,216.10 : 421,824.15 = 259,564.80 : x
  2. Step 2: Convert to fraction form
    281,216.10/421,824.15 = 259,564.80/x
  3. Step 3: Cross multiply
    281,216.10x = 421,824.15 × 259,564.80
  4. Step 4: Simplify right side
    281,216.10x = 109,490,701,129.92
  5. Step 5: Solve for x
    x = 109,490,701,129.92/281,216.10
  6. Step 6: Final answer
    x = 389,347.20

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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.