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Finding the Fourth Proportional to 288,575, 398,277.24 and 175,375.88

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Solution

The fourth proportional to 288,575, 398,277.24 and 175,375.88 is: 242,045.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,575 : 398,277.24 = 175,375.88 : x
  2. Step 2: Convert to fraction form
    288,575/398,277.24 = 175,375.88/x
  3. Step 3: Cross multiply
    288,575x = 398,277.24 × 175,375.88
  4. Step 4: Simplify right side
    288,575x = 69,848,221,448.97
  5. Step 5: Solve for x
    x = 69,848,221,448.97/288,575
  6. Step 6: Final answer
    x = 242,045.30

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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.