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Finding the Fourth Proportional to 476,448, 657,310.71 and 272,389.29

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Solution

The fourth proportional to 476,448, 657,310.71 and 272,389.29 is: 375,790.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,448 : 657,310.71 = 272,389.29 : x
  2. Step 2: Convert to fraction form
    476,448/657,310.71 = 272,389.29/x
  3. Step 3: Cross multiply
    476,448x = 657,310.71 × 272,389.29
  4. Step 4: Simplify right side
    476,448x = 179,044,397,606.30
  5. Step 5: Solve for x
    x = 179,044,397,606.30/476,448
  6. Step 6: Final answer
    x = 375,790.01

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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.