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Finding the Fourth Proportional to 307,810.60, 461,327.10 and 149,698.60

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Solution

The fourth proportional to 307,810.60, 461,327.10 and 149,698.60 is: 224,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,810.60 : 461,327.10 = 149,698.60 : x
  2. Step 2: Convert to fraction form
    307,810.60/461,327.10 = 149,698.60/x
  3. Step 3: Cross multiply
    307,810.60x = 461,327.10 × 149,698.60
  4. Step 4: Simplify right side
    307,810.60x = 69,060,021,012.06
  5. Step 5: Solve for x
    x = 69,060,021,012.06/307,810.60
  6. Step 6: Final answer
    x = 224,358.81

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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.