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Finding the Fourth Proportional to 557,907.42, 769,913.34 and 303,258

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Solution

The fourth proportional to 557,907.42, 769,913.34 and 303,258 is: 418,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,907.42 : 769,913.34 = 303,258 : x
  2. Step 2: Convert to fraction form
    557,907.42/769,913.34 = 303,258/x
  3. Step 3: Cross multiply
    557,907.42x = 769,913.34 × 303,258
  4. Step 4: Simplify right side
    557,907.42x = 233,482,379,661.72
  5. Step 5: Solve for x
    x = 233,482,379,661.72/557,907.42
  6. Step 6: Final answer
    x = 418,496.64

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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.