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Finding the Fourth Proportional to 313,664.90, 470,232.86 and 136,038.13

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Solution

The fourth proportional to 313,664.90, 470,232.86 and 136,038.13 is: 203,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,664.90 : 470,232.86 = 136,038.13 : x
  2. Step 2: Convert to fraction form
    313,664.90/470,232.86 = 136,038.13/x
  3. Step 3: Cross multiply
    313,664.90x = 470,232.86 × 136,038.13
  4. Step 4: Simplify right side
    313,664.90x = 63,969,595,907.60
  5. Step 5: Solve for x
    x = 63,969,595,907.60/313,664.90
  6. Step 6: Final answer
    x = 203,942.47

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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.