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Finding the Fourth Proportional to 306,046.30, 428,907.71 and 306,046.30

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Solution

The fourth proportional to 306,046.30, 428,907.71 and 306,046.30 is: 428,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,046.30 : 428,907.71 = 306,046.30 : x
  2. Step 2: Convert to fraction form
    306,046.30/428,907.71 = 306,046.30/x
  3. Step 3: Cross multiply
    306,046.30x = 428,907.71 × 306,046.30
  4. Step 4: Simplify right side
    306,046.30x = 131,265,617,686.97
  5. Step 5: Solve for x
    x = 131,265,617,686.97/306,046.30
  6. Step 6: Final answer
    x = 428,907.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.