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Finding the Fourth Proportional to 268,927.80, 403,002.90 and 119,045.40

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Solution

The fourth proportional to 268,927.80, 403,002.90 and 119,045.40 is: 178,395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,927.80 : 403,002.90 = 119,045.40 : x
  2. Step 2: Convert to fraction form
    268,927.80/403,002.90 = 119,045.40/x
  3. Step 3: Cross multiply
    268,927.80x = 403,002.90 × 119,045.40
  4. Step 4: Simplify right side
    268,927.80x = 47,975,641,431.66
  5. Step 5: Solve for x
    x = 47,975,641,431.66/268,927.80
  6. Step 6: Final answer
    x = 178,395.99

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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.