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Finding the Fourth Proportional to 281,215.60, 421,823.40 and 259,564.30

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Solution

The fourth proportional to 281,215.60, 421,823.40 and 259,564.30 is: 389,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,215.60 : 421,823.40 = 259,564.30 : x
  2. Step 2: Convert to fraction form
    281,215.60/421,823.40 = 259,564.30/x
  3. Step 3: Cross multiply
    281,215.60x = 421,823.40 × 259,564.30
  4. Step 4: Simplify right side
    281,215.60x = 109,490,295,544.62
  5. Step 5: Solve for x
    x = 109,490,295,544.62/281,215.60
  6. Step 6: Final answer
    x = 389,346.45

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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.