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Finding the Fourth Proportional to 313,369.49, 470,228.79 and 169,272.38

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Solution

The fourth proportional to 313,369.49, 470,228.79 and 169,272.38 is: 254,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,369.49 : 470,228.79 = 169,272.38 : x
  2. Step 2: Convert to fraction form
    313,369.49/470,228.79 = 169,272.38/x
  3. Step 3: Cross multiply
    313,369.49x = 470,228.79 × 169,272.38
  4. Step 4: Simplify right side
    313,369.49x = 79,596,746,427.82
  5. Step 5: Solve for x
    x = 79,596,746,427.82/313,369.49
  6. Step 6: Final answer
    x = 254,002.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.