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Finding the Fourth Proportional to 388,037,658.40, 582,481,640.40 and 242,635,400.80

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Solution

The fourth proportional to 388,037,658.40, 582,481,640.40 and 242,635,400.80 is: 364,218,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,037,658.40 : 582,481,640.40 = 242,635,400.80 : x
  2. Step 2: Convert to fraction form
    388,037,658.40/582,481,640.40 = 242,635,400.80/x
  3. Step 3: Cross multiply
    388,037,658.40x = 582,481,640.40 × 242,635,400.80
  4. Step 4: Simplify right side
    388,037,658.40x = 141,330,666,277,095,472
  5. Step 5: Solve for x
    x = 141,330,666,277,095,472/388,037,658.40
  6. Step 6: Final answer
    x = 364,218,944.26

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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.