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Finding the Fourth Proportional to 260,420.64, 390,659.58 and 82,886.06

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Solution

The fourth proportional to 260,420.64, 390,659.58 and 82,886.06 is: 124,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,420.64 : 390,659.58 = 82,886.06 : x
  2. Step 2: Convert to fraction form
    260,420.64/390,659.58 = 82,886.06/x
  3. Step 3: Cross multiply
    260,420.64x = 390,659.58 × 82,886.06
  4. Step 4: Simplify right side
    260,420.64x = 32,380,231,434.16
  5. Step 5: Solve for x
    x = 32,380,231,434.16/260,420.64
  6. Step 6: Final answer
    x = 124,338.19

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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.