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Finding the Fourth Proportional to 462,361.30, 638,004.78 and 258,412.62

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Solution

The fourth proportional to 462,361.30, 638,004.78 and 258,412.62 is: 356,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,361.30 : 638,004.78 = 258,412.62 : x
  2. Step 2: Convert to fraction form
    462,361.30/638,004.78 = 258,412.62/x
  3. Step 3: Cross multiply
    462,361.30x = 638,004.78 × 258,412.62
  4. Step 4: Simplify right side
    462,361.30x = 164,868,486,772.32
  5. Step 5: Solve for x
    x = 164,868,486,772.32/462,361.30
  6. Step 6: Final answer
    x = 356,579.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.