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Finding the Fourth Proportional to 260,086.40, 390,140.40 and 82,588.40

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Solution

The fourth proportional to 260,086.40, 390,140.40 and 82,588.40 is: 123,886.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,086.40 : 390,140.40 = 82,588.40 : x
  2. Step 2: Convert to fraction form
    260,086.40/390,140.40 = 82,588.40/x
  3. Step 3: Cross multiply
    260,086.40x = 390,140.40 × 82,588.40
  4. Step 4: Simplify right side
    260,086.40x = 32,221,071,411.36
  5. Step 5: Solve for x
    x = 32,221,071,411.36/260,086.40
  6. Step 6: Final answer
    x = 123,886.03

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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.