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Finding the Fourth Proportional to 438,735, 658,106.16 and 106,311

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Solution

The fourth proportional to 438,735, 658,106.16 and 106,311 is: 159,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,735 : 658,106.16 = 106,311 : x
  2. Step 2: Convert to fraction form
    438,735/658,106.16 = 106,311/x
  3. Step 3: Cross multiply
    438,735x = 658,106.16 × 106,311
  4. Step 4: Simplify right side
    438,735x = 69,963,923,975.76
  5. Step 5: Solve for x
    x = 69,963,923,975.76/438,735
  6. Step 6: Final answer
    x = 159,467.39

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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.