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Finding the Fourth Proportional to 476,148.78, 657,059.14 and 261,271.88

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Solution

The fourth proportional to 476,148.78, 657,059.14 and 261,271.88 is: 360,540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,148.78 : 657,059.14 = 261,271.88 : x
  2. Step 2: Convert to fraction form
    476,148.78/657,059.14 = 261,271.88/x
  3. Step 3: Cross multiply
    476,148.78x = 657,059.14 × 261,271.88
  4. Step 4: Simplify right side
    476,148.78x = 171,671,076,284.25
  5. Step 5: Solve for x
    x = 171,671,076,284.25/476,148.78
  6. Step 6: Final answer
    x = 360,540.83

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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.