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Finding the Fourth Proportional to 313,663.40, 470,230.61 and 136,036.62

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Solution

The fourth proportional to 313,663.40, 470,230.61 and 136,036.62 is: 203,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,663.40 : 470,230.61 = 136,036.62 : x
  2. Step 2: Convert to fraction form
    313,663.40/470,230.61 = 136,036.62/x
  3. Step 3: Cross multiply
    313,663.40x = 470,230.61 × 136,036.62
  4. Step 4: Simplify right side
    313,663.40x = 63,968,583,888.12
  5. Step 5: Solve for x
    x = 63,968,583,888.12/313,663.40
  6. Step 6: Final answer
    x = 203,940.22

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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.