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Finding the Fourth Proportional to 419,303.12, 578,637.92 and 228,317.88

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Solution

The fourth proportional to 419,303.12, 578,637.92 and 228,317.88 is: 315,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,303.12 : 578,637.92 = 228,317.88 : x
  2. Step 2: Convert to fraction form
    419,303.12/578,637.92 = 228,317.88/x
  3. Step 3: Cross multiply
    419,303.12x = 578,637.92 × 228,317.88
  4. Step 4: Simplify right side
    419,303.12x = 132,113,383,182.01
  5. Step 5: Solve for x
    x = 132,113,383,182.01/419,303.12
  6. Step 6: Final answer
    x = 315,078.46

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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.