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Finding the Fourth Proportional to 340,014, 469,219.32 and 189,107.76

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Solution

The fourth proportional to 340,014, 469,219.32 and 189,107.76 is: 260,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,014 : 469,219.32 = 189,107.76 : x
  2. Step 2: Convert to fraction form
    340,014/469,219.32 = 189,107.76/x
  3. Step 3: Cross multiply
    340,014x = 469,219.32 × 189,107.76
  4. Step 4: Simplify right side
    340,014x = 88,733,014,553.92
  5. Step 5: Solve for x
    x = 88,733,014,553.92/340,014
  6. Step 6: Final answer
    x = 260,968.71

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1.5x scale

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.