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Finding the Fourth Proportional to 340,591.26, 470,030.50 and 189,688.26

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Solution

The fourth proportional to 340,591.26, 470,030.50 and 189,688.26 is: 261,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,591.26 : 470,030.50 = 189,688.26 : x
  2. Step 2: Convert to fraction form
    340,591.26/470,030.50 = 189,688.26/x
  3. Step 3: Cross multiply
    340,591.26x = 470,030.50 × 189,688.26
  4. Step 4: Simplify right side
    340,591.26x = 89,159,267,691.93
  5. Step 5: Solve for x
    x = 89,159,267,691.93/340,591.26
  6. Step 6: Final answer
    x = 261,777.91

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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.