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Finding the Fourth Proportional to 257,245.50, 385,894.98 and 70,257

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Solution

The fourth proportional to 257,245.50, 385,894.98 and 70,257 is: 105,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,245.50 : 385,894.98 = 70,257 : x
  2. Step 2: Convert to fraction form
    257,245.50/385,894.98 = 70,257/x
  3. Step 3: Cross multiply
    257,245.50x = 385,894.98 × 70,257
  4. Step 4: Simplify right side
    257,245.50x = 27,111,823,609.86
  5. Step 5: Solve for x
    x = 27,111,823,609.86/257,245.50
  6. Step 6: Final answer
    x = 105,392.80

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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.