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Finding the Fourth Proportional to 313,974.74, 470,978.40 and 103,629.08

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Solution

The fourth proportional to 313,974.74, 470,978.40 and 103,629.08 is: 155,449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,974.74 : 470,978.40 = 103,629.08 : x
  2. Step 2: Convert to fraction form
    313,974.74/470,978.40 = 103,629.08/x
  3. Step 3: Cross multiply
    313,974.74x = 470,978.40 × 103,629.08
  4. Step 4: Simplify right side
    313,974.74x = 48,807,058,291.87
  5. Step 5: Solve for x
    x = 48,807,058,291.87/313,974.74
  6. Step 6: Final answer
    x = 155,449.00

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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.