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Finding the Fourth Proportional to 340,903.84, 470,450.34 and 187,947.45

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Solution

The fourth proportional to 340,903.84, 470,450.34 and 187,947.45 is: 259,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,903.84 : 470,450.34 = 187,947.45 : x
  2. Step 2: Convert to fraction form
    340,903.84/470,450.34 = 187,947.45/x
  3. Step 3: Cross multiply
    340,903.84x = 470,450.34 × 187,947.45
  4. Step 4: Simplify right side
    340,903.84x = 88,419,941,754.63
  5. Step 5: Solve for x
    x = 88,419,941,754.63/340,903.84
  6. Step 6: Final answer
    x = 259,369.16

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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.