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Finding the Fourth Proportional to 368,834.24, 509,039.74 and 207,720.78

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Solution

The fourth proportional to 368,834.24, 509,039.74 and 207,720.78 is: 286,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,834.24 : 509,039.74 = 207,720.78 : x
  2. Step 2: Convert to fraction form
    368,834.24/509,039.74 = 207,720.78/x
  3. Step 3: Cross multiply
    368,834.24x = 509,039.74 × 207,720.78
  4. Step 4: Simplify right side
    368,834.24x = 105,738,131,843.80
  5. Step 5: Solve for x
    x = 105,738,131,843.80/368,834.24
  6. Step 6: Final answer
    x = 286,681.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.