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Finding the Fourth Proportional to 426,160.63, 638,791.54 and 141,775

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Solution

The fourth proportional to 426,160.63, 638,791.54 and 141,775 is: 212,512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,160.63 : 638,791.54 = 141,775 : x
  2. Step 2: Convert to fraction form
    426,160.63/638,791.54 = 141,775/x
  3. Step 3: Cross multiply
    426,160.63x = 638,791.54 × 141,775
  4. Step 4: Simplify right side
    426,160.63x = 90,564,670,583.50
  5. Step 5: Solve for x
    x = 90,564,670,583.50/426,160.63
  6. Step 6: Final answer
    x = 212,512.99

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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.