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Finding the Fourth Proportional to 545,101.20, 816,874.20 and 401,828.40

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Solution

The fourth proportional to 545,101.20, 816,874.20 and 401,828.40 is: 602,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,101.20 : 816,874.20 = 401,828.40 : x
  2. Step 2: Convert to fraction form
    545,101.20/816,874.20 = 401,828.40/x
  3. Step 3: Cross multiply
    545,101.20x = 816,874.20 × 401,828.40
  4. Step 4: Simplify right side
    545,101.20x = 328,243,252,787.28
  5. Step 5: Solve for x
    x = 328,243,252,787.28/545,101.20
  6. Step 6: Final answer
    x = 602,169.38

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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.