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Finding the Fourth Proportional to 340,596, 470,022.48 and 189,693

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Solution

The fourth proportional to 340,596, 470,022.48 and 189,693 is: 261,776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,596 : 470,022.48 = 189,693 : x
  2. Step 2: Convert to fraction form
    340,596/470,022.48 = 189,693/x
  3. Step 3: Cross multiply
    340,596x = 470,022.48 × 189,693
  4. Step 4: Simplify right side
    340,596x = 89,159,974,298.64
  5. Step 5: Solve for x
    x = 89,159,974,298.64/340,596
  6. Step 6: Final answer
    x = 261,776.34

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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.