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Finding the Fourth Proportional to 260,490, 390,785.76 and 110,728.56

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Solution

The fourth proportional to 260,490, 390,785.76 and 110,728.56 is: 166,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,490 : 390,785.76 = 110,728.56 : x
  2. Step 2: Convert to fraction form
    260,490/390,785.76 = 110,728.56/x
  3. Step 3: Cross multiply
    260,490x = 390,785.76 × 110,728.56
  4. Step 4: Simplify right side
    260,490x = 43,271,144,473.31
  5. Step 5: Solve for x
    x = 43,271,144,473.31/260,490
  6. Step 6: Final answer
    x = 166,114.42

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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.