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Finding the Fourth Proportional to 384,295.80, 576,443.70 and 266,197.80

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Solution

The fourth proportional to 384,295.80, 576,443.70 and 266,197.80 is: 399,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,295.80 : 576,443.70 = 266,197.80 : x
  2. Step 2: Convert to fraction form
    384,295.80/576,443.70 = 266,197.80/x
  3. Step 3: Cross multiply
    384,295.80x = 576,443.70 × 266,197.80
  4. Step 4: Simplify right side
    384,295.80x = 153,448,044,763.86
  5. Step 5: Solve for x
    x = 153,448,044,763.86/384,295.80
  6. Step 6: Final answer
    x = 399,296.70

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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.