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Finding the Fourth Proportional to 260,364.47, 390,694.22 and 102,703.64

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Solution

The fourth proportional to 260,364.47, 390,694.22 and 102,703.64 is: 154,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,364.47 : 390,694.22 = 102,703.64 : x
  2. Step 2: Convert to fraction form
    260,364.47/390,694.22 = 102,703.64/x
  3. Step 3: Cross multiply
    260,364.47x = 390,694.22 × 102,703.64
  4. Step 4: Simplify right side
    260,364.47x = 40,125,716,053.97
  5. Step 5: Solve for x
    x = 40,125,716,053.97/260,364.47
  6. Step 6: Final answer
    x = 154,113.64

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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.