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Finding the Fourth Proportional to 427,617.27, 590,071.82 and 255,501

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Solution

The fourth proportional to 427,617.27, 590,071.82 and 255,501 is: 352,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,617.27 : 590,071.82 = 255,501 : x
  2. Step 2: Convert to fraction form
    427,617.27/590,071.82 = 255,501/x
  3. Step 3: Cross multiply
    427,617.27x = 590,071.82 × 255,501
  4. Step 4: Simplify right side
    427,617.27x = 150,763,938,804.32
  5. Step 5: Solve for x
    x = 150,763,938,804.32/427,617.27
  6. Step 6: Final answer
    x = 352,567.47

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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.