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Finding the Fourth Proportional to 313,666.78, 470,235.68 and 136,040.01

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Solution

The fourth proportional to 313,666.78, 470,235.68 and 136,040.01 is: 203,945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,666.78 : 470,235.68 = 136,040.01 : x
  2. Step 2: Convert to fraction form
    313,666.78/470,235.68 = 136,040.01/x
  3. Step 3: Cross multiply
    313,666.78x = 470,235.68 × 136,040.01
  4. Step 4: Simplify right side
    313,666.78x = 63,970,866,609.56
  5. Step 5: Solve for x
    x = 63,970,866,609.56/313,666.78
  6. Step 6: Final answer
    x = 203,945.30

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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.