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Finding the Fourth Proportional to 260,206.40, 390,320.40 and 82,708.40

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Solution

The fourth proportional to 260,206.40, 390,320.40 and 82,708.40 is: 124,066.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,206.40 : 390,320.40 = 82,708.40 : x
  2. Step 2: Convert to fraction form
    260,206.40/390,320.40 = 82,708.40/x
  3. Step 3: Cross multiply
    260,206.40x = 390,320.40 × 82,708.40
  4. Step 4: Simplify right side
    260,206.40x = 32,282,775,771.36
  5. Step 5: Solve for x
    x = 32,282,775,771.36/260,206.40
  6. Step 6: Final answer
    x = 124,066.03

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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.