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Finding the Fourth Proportional to 400,809.47, 552,851.06 and 257,750.51

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Solution

The fourth proportional to 400,809.47, 552,851.06 and 257,750.51 is: 355,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,809.47 : 552,851.06 = 257,750.51 : x
  2. Step 2: Convert to fraction form
    400,809.47/552,851.06 = 257,750.51/x
  3. Step 3: Cross multiply
    400,809.47x = 552,851.06 × 257,750.51
  4. Step 4: Simplify right side
    400,809.47x = 142,497,638,616.03
  5. Step 5: Solve for x
    x = 142,497,638,616.03/400,809.47
  6. Step 6: Final answer
    x = 355,524.63

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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.