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Finding the Fourth Proportional to 270,848.21, 406,271.70 and 81,308.34

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Solution

The fourth proportional to 270,848.21, 406,271.70 and 81,308.34 is: 121,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,848.21 : 406,271.70 = 81,308.34 : x
  2. Step 2: Convert to fraction form
    270,848.21/406,271.70 = 81,308.34/x
  3. Step 3: Cross multiply
    270,848.21x = 406,271.70 × 81,308.34
  4. Step 4: Simplify right side
    270,848.21x = 33,033,277,515.98
  5. Step 5: Solve for x
    x = 33,033,277,515.98/270,848.21
  6. Step 6: Final answer
    x = 121,962.33

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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.