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Finding the Fourth Proportional to 388,357,280.80, 582,144,010.80 and 193,969,722.40

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Solution

The fourth proportional to 388,357,280.80, 582,144,010.80 and 193,969,722.40 is: 290,758,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,357,280.80 : 582,144,010.80 = 193,969,722.40 : x
  2. Step 2: Convert to fraction form
    388,357,280.80/582,144,010.80 = 193,969,722.40/x
  3. Step 3: Cross multiply
    388,357,280.80x = 582,144,010.80 × 193,969,722.40
  4. Step 4: Simplify right side
    388,357,280.80x = 112,918,312,171,698,592
  5. Step 5: Solve for x
    x = 112,918,312,171,698,592/388,357,280.80
  6. Step 6: Final answer
    x = 290,758,839.23

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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.