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Finding the Fourth Proportional to 388,047,142.80, 582,070,714.20 and 349,783,390.80

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Solution

The fourth proportional to 388,047,142.80, 582,070,714.20 and 349,783,390.80 is: 524,675,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,047,142.80 : 582,070,714.20 = 349,783,390.80 : x
  2. Step 2: Convert to fraction form
    388,047,142.80/582,070,714.20 = 349,783,390.80/x
  3. Step 3: Cross multiply
    388,047,142.80x = 582,070,714.20 × 349,783,390.80
  4. Step 4: Simplify right side
    388,047,142.80x = 203,598,668,098,253,728
  5. Step 5: Solve for x
    x = 203,598,668,098,253,728/388,047,142.80
  6. Step 6: Final answer
    x = 524,675,086.20

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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.