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Finding the Fourth Proportional to 768,175.12, 1,152,283.74 and 207,208

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Solution

The fourth proportional to 768,175.12, 1,152,283.74 and 207,208 is: 310,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,175.12 : 1,152,283.74 = 207,208 : x
  2. Step 2: Convert to fraction form
    768,175.12/1,152,283.74 = 207,208/x
  3. Step 3: Cross multiply
    768,175.12x = 1,152,283.74 × 207,208
  4. Step 4: Simplify right side
    768,175.12x = 238,762,409,197.92
  5. Step 5: Solve for x
    x = 238,762,409,197.92/768,175.12
  6. Step 6: Final answer
    x = 310,817.68

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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.