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Finding the Fourth Proportional to 307,014.48, 460,655.28 and 107,478

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Solution

The fourth proportional to 307,014.48, 460,655.28 and 107,478 is: 161,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,014.48 : 460,655.28 = 107,478 : x
  2. Step 2: Convert to fraction form
    307,014.48/460,655.28 = 107,478/x
  3. Step 3: Cross multiply
    307,014.48x = 460,655.28 × 107,478
  4. Step 4: Simplify right side
    307,014.48x = 49,510,308,183.84
  5. Step 5: Solve for x
    x = 49,510,308,183.84/307,014.48
  6. Step 6: Final answer
    x = 161,263.76

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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.