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Finding the Fourth Proportional to 463,908.09, 640,182.30 and 272,933.76

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Solution

The fourth proportional to 463,908.09, 640,182.30 and 272,933.76 is: 376,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,908.09 : 640,182.30 = 272,933.76 : x
  2. Step 2: Convert to fraction form
    463,908.09/640,182.30 = 272,933.76/x
  3. Step 3: Cross multiply
    463,908.09x = 640,182.30 × 272,933.76
  4. Step 4: Simplify right side
    463,908.09x = 174,727,362,224.45
  5. Step 5: Solve for x
    x = 174,727,362,224.45/463,908.09
  6. Step 6: Final answer
    x = 376,642.20

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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.