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Finding the Fourth Proportional to 398,205.70, 596,992.79 and 208,629.71

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Solution

The fourth proportional to 398,205.70, 596,992.79 and 208,629.71 is: 312,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,205.70 : 596,992.79 = 208,629.71 : x
  2. Step 2: Convert to fraction form
    398,205.70/596,992.79 = 208,629.71/x
  3. Step 3: Cross multiply
    398,205.70x = 596,992.79 × 208,629.71
  4. Step 4: Simplify right side
    398,205.70x = 124,550,432,425.12
  5. Step 5: Solve for x
    x = 124,550,432,425.12/398,205.70
  6. Step 6: Final answer
    x = 312,779.13

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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.