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Finding the Fourth Proportional to 427,260.60, 640,927.49 and 111,717

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Solution

The fourth proportional to 427,260.60, 640,927.49 and 111,717 is: 167,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,260.60 : 640,927.49 = 111,717 : x
  2. Step 2: Convert to fraction form
    427,260.60/640,927.49 = 111,717/x
  3. Step 3: Cross multiply
    427,260.60x = 640,927.49 × 111,717
  4. Step 4: Simplify right side
    427,260.60x = 71,602,495,841.75
  5. Step 5: Solve for x
    x = 71,602,495,841.75/427,260.60
  6. Step 6: Final answer
    x = 167,585.07

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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.