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Finding the Fourth Proportional to 384,177.80, 576,266.70 and 258,206.60

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Solution

The fourth proportional to 384,177.80, 576,266.70 and 258,206.60 is: 387,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,177.80 : 576,266.70 = 258,206.60 : x
  2. Step 2: Convert to fraction form
    384,177.80/576,266.70 = 258,206.60/x
  3. Step 3: Cross multiply
    384,177.80x = 576,266.70 × 258,206.60
  4. Step 4: Simplify right side
    384,177.80x = 148,795,865,300.22
  5. Step 5: Solve for x
    x = 148,795,865,300.22/384,177.80
  6. Step 6: Final answer
    x = 387,309.90

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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.