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Finding the Fourth Proportional to 427,580.85, 641,391.94 and 112,038.06

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Solution

The fourth proportional to 427,580.85, 641,391.94 and 112,038.06 is: 168,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,580.85 : 641,391.94 = 112,038.06 : x
  2. Step 2: Convert to fraction form
    427,580.85/641,391.94 = 112,038.06/x
  3. Step 3: Cross multiply
    427,580.85x = 641,391.94 × 112,038.06
  4. Step 4: Simplify right side
    427,580.85x = 71,860,308,377.14
  5. Step 5: Solve for x
    x = 71,860,308,377.14/427,580.85
  6. Step 6: Final answer
    x = 168,062.50

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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.