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Finding the Fourth Proportional to 398,206.28, 596,993.68 and 208,630.29

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Solution

The fourth proportional to 398,206.28, 596,993.68 and 208,630.29 is: 312,780.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,206.28 : 596,993.68 = 208,630.29 : x
  2. Step 2: Convert to fraction form
    398,206.28/596,993.68 = 208,630.29/x
  3. Step 3: Cross multiply
    398,206.28x = 596,993.68 × 208,630.29
  4. Step 4: Simplify right side
    398,206.28x = 124,550,964,064.99
  5. Step 5: Solve for x
    x = 124,550,964,064.99/398,206.28
  6. Step 6: Final answer
    x = 312,780.01

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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.