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Finding the Fourth Proportional to 257,221.50, 385,858.98 and 70,233

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Solution

The fourth proportional to 257,221.50, 385,858.98 and 70,233 is: 105,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,221.50 : 385,858.98 = 70,233 : x
  2. Step 2: Convert to fraction form
    257,221.50/385,858.98 = 70,233/x
  3. Step 3: Cross multiply
    257,221.50x = 385,858.98 × 70,233
  4. Step 4: Simplify right side
    257,221.50x = 27,100,033,742.34
  5. Step 5: Solve for x
    x = 27,100,033,742.34/257,221.50
  6. Step 6: Final answer
    x = 105,356.80

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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.