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Finding the Fourth Proportional to 299,055.34, 448,213.62 and 256,637.26

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Solution

The fourth proportional to 299,055.34, 448,213.62 and 256,637.26 is: 384,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,055.34 : 448,213.62 = 256,637.26 : x
  2. Step 2: Convert to fraction form
    299,055.34/448,213.62 = 256,637.26/x
  3. Step 3: Cross multiply
    299,055.34x = 448,213.62 × 256,637.26
  4. Step 4: Simplify right side
    299,055.34x = 115,028,315,331.48
  5. Step 5: Solve for x
    x = 115,028,315,331.48/299,055.34
  6. Step 6: Final answer
    x = 384,638.89

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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.