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Finding the Fourth Proportional to 472,675.20, 652,175.04 and 288,866.88

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Solution

The fourth proportional to 472,675.20, 652,175.04 and 288,866.88 is: 398,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,675.20 : 652,175.04 = 288,866.88 : x
  2. Step 2: Convert to fraction form
    472,675.20/652,175.04 = 288,866.88/x
  3. Step 3: Cross multiply
    472,675.20x = 652,175.04 × 288,866.88
  4. Step 4: Simplify right side
    472,675.20x = 188,391,769,018.68
  5. Step 5: Solve for x
    x = 188,391,769,018.68/472,675.20
  6. Step 6: Final answer
    x = 398,564.95

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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.