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Finding the Fourth Proportional to 471,628.24, 650,903.40 and 278,079.76

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Solution

The fourth proportional to 471,628.24, 650,903.40 and 278,079.76 is: 383,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,628.24 : 650,903.40 = 278,079.76 : x
  2. Step 2: Convert to fraction form
    471,628.24/650,903.40 = 278,079.76/x
  3. Step 3: Cross multiply
    471,628.24x = 650,903.40 × 278,079.76
  4. Step 4: Simplify right side
    471,628.24x = 181,003,061,255.18
  5. Step 5: Solve for x
    x = 181,003,061,255.18/471,628.24
  6. Step 6: Final answer
    x = 383,783.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.