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Finding the Fourth Proportional to 303,384, 455,076 and 81,768

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Solution

The fourth proportional to 303,384, 455,076 and 81,768 is: 122,652

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,384 : 455,076 = 81,768 : x
  2. Step 2: Convert to fraction form
    303,384/455,076 = 81,768/x
  3. Step 3: Cross multiply
    303,384x = 455,076 × 81,768
  4. Step 4: Simplify right side
    303,384x = 37,210,654,368
  5. Step 5: Solve for x
    x = 37,210,654,368/303,384
  6. Step 6: Final answer
    x = 122,652

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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.