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Finding the Fourth Proportional to 347,624, 479,721.12 and 188,648

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Solution

The fourth proportional to 347,624, 479,721.12 and 188,648 is: 260,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,624 : 479,721.12 = 188,648 : x
  2. Step 2: Convert to fraction form
    347,624/479,721.12 = 188,648/x
  3. Step 3: Cross multiply
    347,624x = 479,721.12 × 188,648
  4. Step 4: Simplify right side
    347,624x = 90,498,429,845.76
  5. Step 5: Solve for x
    x = 90,498,429,845.76/347,624
  6. Step 6: Final answer
    x = 260,334.24

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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.