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Finding the Fourth Proportional to 383,664, 575,703.36 and 186,672

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Solution

The fourth proportional to 383,664, 575,703.36 and 186,672 is: 280,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,664 : 575,703.36 = 186,672 : x
  2. Step 2: Convert to fraction form
    383,664/575,703.36 = 186,672/x
  3. Step 3: Cross multiply
    383,664x = 575,703.36 × 186,672
  4. Step 4: Simplify right side
    383,664x = 107,467,697,617.92
  5. Step 5: Solve for x
    x = 107,467,697,617.92/383,664
  6. Step 6: Final answer
    x = 280,108.89

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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.