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Finding the Fourth Proportional to 260,506.64, 390,674.28 and 91,996.40

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Solution

The fourth proportional to 260,506.64, 390,674.28 and 91,996.40 is: 137,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,506.64 : 390,674.28 = 91,996.40 : x
  2. Step 2: Convert to fraction form
    260,506.64/390,674.28 = 91,996.40/x
  3. Step 3: Cross multiply
    260,506.64x = 390,674.28 × 91,996.40
  4. Step 4: Simplify right side
    260,506.64x = 35,940,627,332.59
  5. Step 5: Solve for x
    x = 35,940,627,332.59/260,506.64
  6. Step 6: Final answer
    x = 137,964.34

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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.