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Finding the Fourth Proportional to 399,782.04, 551,645.90 and 256,735.84

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Solution

The fourth proportional to 399,782.04, 551,645.90 and 256,735.84 is: 354,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,782.04 : 551,645.90 = 256,735.84 : x
  2. Step 2: Convert to fraction form
    399,782.04/551,645.90 = 256,735.84/x
  3. Step 3: Cross multiply
    399,782.04x = 551,645.90 × 256,735.84
  4. Step 4: Simplify right side
    399,782.04x = 141,627,273,519.06
  5. Step 5: Solve for x
    x = 141,627,273,519.06/399,782.04
  6. Step 6: Final answer
    x = 354,261.22

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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.