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Finding the Fourth Proportional to 476,642.40, 657,770.40 and 261,785.04

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Solution

The fourth proportional to 476,642.40, 657,770.40 and 261,785.04 is: 361,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,642.40 : 657,770.40 = 261,785.04 : x
  2. Step 2: Convert to fraction form
    476,642.40/657,770.40 = 261,785.04/x
  3. Step 3: Cross multiply
    476,642.40x = 657,770.40 × 261,785.04
  4. Step 4: Simplify right side
    476,642.40x = 172,194,450,474.82
  5. Step 5: Solve for x
    x = 172,194,450,474.82/476,642.40
  6. Step 6: Final answer
    x = 361,265.49

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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.