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Finding the Fourth Proportional to 438,836, 658,256.16 and 106,412

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Solution

The fourth proportional to 438,836, 658,256.16 and 106,412 is: 159,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,836 : 658,256.16 = 106,412 : x
  2. Step 2: Convert to fraction form
    438,836/658,256.16 = 106,412/x
  3. Step 3: Cross multiply
    438,836x = 658,256.16 × 106,412
  4. Step 4: Simplify right side
    438,836x = 70,046,354,497.92
  5. Step 5: Solve for x
    x = 70,046,354,497.92/438,836
  6. Step 6: Final answer
    x = 159,618.52

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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.