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Finding the Fourth Proportional to 391,038,400.80, 585,045,946.80 and 254,989,504.80

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Solution

The fourth proportional to 391,038,400.80, 585,045,946.80 and 254,989,504.80 is: 381,498,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,038,400.80 : 585,045,946.80 = 254,989,504.80 : x
  2. Step 2: Convert to fraction form
    391,038,400.80/585,045,946.80 = 254,989,504.80/x
  3. Step 3: Cross multiply
    391,038,400.80x = 585,045,946.80 × 254,989,504.80
  4. Step 4: Simplify right side
    391,038,400.80x = 149,180,576,259,779,136
  5. Step 5: Solve for x
    x = 149,180,576,259,779,136/391,038,400.80
  6. Step 6: Final answer
    x = 381,498,533.02

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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.