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Finding the Fourth Proportional to 257,241.52, 385,889 and 70,253

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Solution

The fourth proportional to 257,241.52, 385,889 and 70,253 is: 105,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,241.52 : 385,889 = 70,253 : x
  2. Step 2: Convert to fraction form
    257,241.52/385,889 = 70,253/x
  3. Step 3: Cross multiply
    257,241.52x = 385,889 × 70,253
  4. Step 4: Simplify right side
    257,241.52x = 27,109,859,917
  5. Step 5: Solve for x
    x = 27,109,859,917/257,241.52
  6. Step 6: Final answer
    x = 105,386.80

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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.