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Finding the Fourth Proportional to 425,664.36, 638,478.06 and 105,809.46

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Solution

The fourth proportional to 425,664.36, 638,478.06 and 105,809.46 is: 158,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,664.36 : 638,478.06 = 105,809.46 : x
  2. Step 2: Convert to fraction form
    425,664.36/638,478.06 = 105,809.46/x
  3. Step 3: Cross multiply
    425,664.36x = 638,478.06 × 105,809.46
  4. Step 4: Simplify right side
    425,664.36x = 67,557,018,750.45
  5. Step 5: Solve for x
    x = 67,557,018,750.45/425,664.36
  6. Step 6: Final answer
    x = 158,709.60

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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.