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Finding the Fourth Proportional to 403,420.77, 604,956.20 and 137,109.78

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Solution

The fourth proportional to 403,420.77, 604,956.20 and 137,109.78 is: 205,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,420.77 : 604,956.20 = 137,109.78 : x
  2. Step 2: Convert to fraction form
    403,420.77/604,956.20 = 137,109.78/x
  3. Step 3: Cross multiply
    403,420.77x = 604,956.20 × 137,109.78
  4. Step 4: Simplify right side
    403,420.77x = 82,945,410,806.09
  5. Step 5: Solve for x
    x = 82,945,410,806.09/403,420.77
  6. Step 6: Final answer
    x = 205,605.21

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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.