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Finding the Fourth Proportional to 260,516.40, 390,817.80 and 110,828.40

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Solution

The fourth proportional to 260,516.40, 390,817.80 and 110,828.40 is: 166,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,516.40 : 390,817.80 = 110,828.40 : x
  2. Step 2: Convert to fraction form
    260,516.40/390,817.80 = 110,828.40/x
  3. Step 3: Cross multiply
    260,516.40x = 390,817.80 × 110,828.40
  4. Step 4: Simplify right side
    260,516.40x = 43,313,711,465.52
  5. Step 5: Solve for x
    x = 43,313,711,465.52/260,516.40
  6. Step 6: Final answer
    x = 166,260.98

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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.