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Finding the Fourth Proportional to 418,740.83, 627,873.30 and 285,782.16

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Solution

The fourth proportional to 418,740.83, 627,873.30 and 285,782.16 is: 428,510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,740.83 : 627,873.30 = 285,782.16 : x
  2. Step 2: Convert to fraction form
    418,740.83/627,873.30 = 285,782.16/x
  3. Step 3: Cross multiply
    418,740.83x = 627,873.30 × 285,782.16
  4. Step 4: Simplify right side
    418,740.83x = 179,434,987,880.33
  5. Step 5: Solve for x
    x = 179,434,987,880.33/418,740.83
  6. Step 6: Final answer
    x = 428,510.85

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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.