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Finding the Fourth Proportional to 298,277.64, 411,710.04 and 238,266.36

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Solution

The fourth proportional to 298,277.64, 411,710.04 and 238,266.36 is: 328,876.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,277.64 : 411,710.04 = 238,266.36 : x
  2. Step 2: Convert to fraction form
    298,277.64/411,710.04 = 238,266.36/x
  3. Step 3: Cross multiply
    298,277.64x = 411,710.04 × 238,266.36
  4. Step 4: Simplify right side
    298,277.64x = 98,096,652,606.25
  5. Step 5: Solve for x
    x = 98,096,652,606.25/298,277.64
  6. Step 6: Final answer
    x = 328,876.99

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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.