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Finding the Fourth Proportional to 309,596, 427,289.16 and 188,807.34

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Solution

The fourth proportional to 309,596, 427,289.16 and 188,807.34 is: 260,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,596 : 427,289.16 = 188,807.34 : x
  2. Step 2: Convert to fraction form
    309,596/427,289.16 = 188,807.34/x
  3. Step 3: Cross multiply
    309,596x = 427,289.16 × 188,807.34
  4. Step 4: Simplify right side
    309,596x = 80,675,329,710.43
  5. Step 5: Solve for x
    x = 80,675,329,710.43/309,596
  6. Step 6: Final answer
    x = 260,582.60

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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.