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Finding the Fourth Proportional to 368,987.60, 509,204.68 and 207,845.80

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Solution

The fourth proportional to 368,987.60, 509,204.68 and 207,845.80 is: 286,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,987.60 : 509,204.68 = 207,845.80 : x
  2. Step 2: Convert to fraction form
    368,987.60/509,204.68 = 207,845.80/x
  3. Step 3: Cross multiply
    368,987.60x = 509,204.68 × 207,845.80
  4. Step 4: Simplify right side
    368,987.60x = 105,836,052,285.72
  5. Step 5: Solve for x
    x = 105,836,052,285.72/368,987.60
  6. Step 6: Final answer
    x = 286,828.21

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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.