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Finding the Fourth Proportional to 313,665.90, 470,234.35 and 136,039.13

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Solution

The fourth proportional to 313,665.90, 470,234.35 and 136,039.13 is: 203,943.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,665.90 : 470,234.35 = 136,039.13 : x
  2. Step 2: Convert to fraction form
    313,665.90/470,234.35 = 136,039.13/x
  3. Step 3: Cross multiply
    313,665.90x = 470,234.35 × 136,039.13
  4. Step 4: Simplify right side
    313,665.90x = 63,970,271,870.12
  5. Step 5: Solve for x
    x = 63,970,271,870.12/313,665.90
  6. Step 6: Final answer
    x = 203,943.98

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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.