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Finding the Fourth Proportional to 328,963.21, 454,041.16 and 208,265.40

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Solution

The fourth proportional to 328,963.21, 454,041.16 and 208,265.40 is: 287,451.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,963.21 : 454,041.16 = 208,265.40 : x
  2. Step 2: Convert to fraction form
    328,963.21/454,041.16 = 208,265.40/x
  3. Step 3: Cross multiply
    328,963.21x = 454,041.16 × 208,265.40
  4. Step 4: Simplify right side
    328,963.21x = 94,561,063,283.20
  5. Step 5: Solve for x
    x = 94,561,063,283.20/328,963.21
  6. Step 6: Final answer
    x = 287,451.79

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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.