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Finding the Fourth Proportional to 260,838.36, 359,976.96 and 147,678.12

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Solution

The fourth proportional to 260,838.36, 359,976.96 and 147,678.12 is: 203,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,838.36 : 359,976.96 = 147,678.12 : x
  2. Step 2: Convert to fraction form
    260,838.36/359,976.96 = 147,678.12/x
  3. Step 3: Cross multiply
    260,838.36x = 359,976.96 × 147,678.12
  4. Step 4: Simplify right side
    260,838.36x = 53,160,720,696.12
  5. Step 5: Solve for x
    x = 53,160,720,696.12/260,838.36
  6. Step 6: Final answer
    x = 203,807.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.