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Finding the Fourth Proportional to 398,209.79, 596,998.92 and 208,633.79

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Solution

The fourth proportional to 398,209.79, 596,998.92 and 208,633.79 is: 312,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,209.79 : 596,998.92 = 208,633.79 : x
  2. Step 2: Convert to fraction form
    398,209.79/596,998.92 = 208,633.79/x
  3. Step 3: Cross multiply
    398,209.79x = 596,998.92 × 208,633.79
  4. Step 4: Simplify right side
    398,209.79x = 124,554,147,305.51
  5. Step 5: Solve for x
    x = 124,554,147,305.51/398,209.79
  6. Step 6: Final answer
    x = 312,785.25

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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.