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Finding the Fourth Proportional to 288,694, 398,572.68 and 188,266.96

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Solution

The fourth proportional to 288,694, 398,572.68 and 188,266.96 is: 259,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,694 : 398,572.68 = 188,266.96 : x
  2. Step 2: Convert to fraction form
    288,694/398,572.68 = 188,266.96/x
  3. Step 3: Cross multiply
    288,694x = 398,572.68 × 188,266.96
  4. Step 4: Simplify right side
    288,694x = 75,038,066,802.65
  5. Step 5: Solve for x
    x = 75,038,066,802.65/288,694
  6. Step 6: Final answer
    x = 259,922.50

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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.