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Finding the Fourth Proportional to 768,143.40, 1,152,215.10 and 207,177.80

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Solution

The fourth proportional to 768,143.40, 1,152,215.10 and 207,177.80 is: 310,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,143.40 : 1,152,215.10 = 207,177.80 : x
  2. Step 2: Convert to fraction form
    768,143.40/1,152,215.10 = 207,177.80/x
  3. Step 3: Cross multiply
    768,143.40x = 1,152,215.10 × 207,177.80
  4. Step 4: Simplify right side
    768,143.40x = 238,713,389,544.78
  5. Step 5: Solve for x
    x = 238,713,389,544.78/768,143.40
  6. Step 6: Final answer
    x = 310,766.70

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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.