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Finding the Fourth Proportional to 340,577.21, 470,011.13 and 189,674.21

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Solution

The fourth proportional to 340,577.21, 470,011.13 and 189,674.21 is: 261,758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,577.21 : 470,011.13 = 189,674.21 : x
  2. Step 2: Convert to fraction form
    340,577.21/470,011.13 = 189,674.21/x
  3. Step 3: Cross multiply
    340,577.21x = 470,011.13 × 189,674.21
  4. Step 4: Simplify right side
    340,577.21x = 89,148,989,773.96
  5. Step 5: Solve for x
    x = 89,148,989,773.96/340,577.21
  6. Step 6: Final answer
    x = 261,758.53

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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.