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Finding the Fourth Proportional to 298,420.58, 411,774.14 and 171,071.57

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Solution

The fourth proportional to 298,420.58, 411,774.14 and 171,071.57 is: 236,052.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,420.58 : 411,774.14 = 171,071.57 : x
  2. Step 2: Convert to fraction form
    298,420.58/411,774.14 = 171,071.57/x
  3. Step 3: Cross multiply
    298,420.58x = 411,774.14 × 171,071.57
  4. Step 4: Simplify right side
    298,420.58x = 70,442,845,700.97
  5. Step 5: Solve for x
    x = 70,442,845,700.97/298,420.58
  6. Step 6: Final answer
    x = 236,052.24

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1.5x scale

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.