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Finding the Fourth Proportional to 476,549.78, 657,646.22 and 258,758.33

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Solution

The fourth proportional to 476,549.78, 657,646.22 and 258,758.33 is: 357,090.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,549.78 : 657,646.22 = 258,758.33 : x
  2. Step 2: Convert to fraction form
    476,549.78/657,646.22 = 258,758.33/x
  3. Step 3: Cross multiply
    476,549.78x = 657,646.22 × 258,758.33
  4. Step 4: Simplify right side
    476,549.78x = 170,171,434,976.68
  5. Step 5: Solve for x
    x = 170,171,434,976.68/476,549.78
  6. Step 6: Final answer
    x = 357,090.58

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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.