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Finding the Fourth Proportional to 310,250.74, 465,399.69 and 120,629.64

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Solution

The fourth proportional to 310,250.74, 465,399.69 and 120,629.64 is: 180,953.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,250.74 : 465,399.69 = 120,629.64 : x
  2. Step 2: Convert to fraction form
    310,250.74/465,399.69 = 120,629.64/x
  3. Step 3: Cross multiply
    310,250.74x = 465,399.69 × 120,629.64
  4. Step 4: Simplify right side
    310,250.74x = 56,140,997,060.81
  5. Step 5: Solve for x
    x = 56,140,997,060.81/310,250.74
  6. Step 6: Final answer
    x = 180,953.63

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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.