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Finding the Fourth Proportional to 259,971.42, 389,970.98 and 82,492.32

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Solution

The fourth proportional to 259,971.42, 389,970.98 and 82,492.32 is: 123,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,971.42 : 389,970.98 = 82,492.32 : x
  2. Step 2: Convert to fraction form
    259,971.42/389,970.98 = 82,492.32/x
  3. Step 3: Cross multiply
    259,971.42x = 389,970.98 × 82,492.32
  4. Step 4: Simplify right side
    259,971.42x = 32,169,610,872.87
  5. Step 5: Solve for x
    x = 32,169,610,872.87/259,971.42
  6. Step 6: Final answer
    x = 123,742.87

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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.