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Finding the Fourth Proportional to 557,546.03, 769,429.30 and 315,828.54

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Solution

The fourth proportional to 557,546.03, 769,429.30 and 315,828.54 is: 435,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,546.03 : 769,429.30 = 315,828.54 : x
  2. Step 2: Convert to fraction form
    557,546.03/769,429.30 = 315,828.54/x
  3. Step 3: Cross multiply
    557,546.03x = 769,429.30 × 315,828.54
  4. Step 4: Simplify right side
    557,546.03x = 243,007,735,307.12
  5. Step 5: Solve for x
    x = 243,007,735,307.12/557,546.03
  6. Step 6: Final answer
    x = 435,852.32

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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.