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Finding the Fourth Proportional to 298,060.98, 411,115.95 and 202,401.60

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Solution

The fourth proportional to 298,060.98, 411,115.95 and 202,401.60 is: 279,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,060.98 : 411,115.95 = 202,401.60 : x
  2. Step 2: Convert to fraction form
    298,060.98/411,115.95 = 202,401.60/x
  3. Step 3: Cross multiply
    298,060.98x = 411,115.95 × 202,401.60
  4. Step 4: Simplify right side
    298,060.98x = 83,210,526,065.52
  5. Step 5: Solve for x
    x = 83,210,526,065.52/298,060.98
  6. Step 6: Final answer
    x = 279,172.83

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