Home / 312,784.36-431,842.02-205,544.68

Finding the Fourth Proportional to 312,784.36, 431,842.02 and 205,544.68

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Solution

The fourth proportional to 312,784.36, 431,842.02 and 205,544.68 is: 283,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,784.36 : 431,842.02 = 205,544.68 : x
  2. Step 2: Convert to fraction form
    312,784.36/431,842.02 = 205,544.68/x
  3. Step 3: Cross multiply
    312,784.36x = 431,842.02 × 205,544.68
  4. Step 4: Simplify right side
    312,784.36x = 88,762,829,811.45
  5. Step 5: Solve for x
    x = 88,762,829,811.45/312,784.36
  6. Step 6: Final answer
    x = 283,782.83

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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.