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Finding the Fourth Proportional to 322,994, 484,495.32 and 101,378

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Solution

The fourth proportional to 322,994, 484,495.32 and 101,378 is: 152,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,994 : 484,495.32 = 101,378 : x
  2. Step 2: Convert to fraction form
    322,994/484,495.32 = 101,378/x
  3. Step 3: Cross multiply
    322,994x = 484,495.32 × 101,378
  4. Step 4: Simplify right side
    322,994x = 49,117,166,550.96
  5. Step 5: Solve for x
    x = 49,117,166,550.96/322,994
  6. Step 6: Final answer
    x = 152,068.36

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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.