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Finding the Fourth Proportional to 418,768.32, 627,913.68 and 285,809.52

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Solution

The fourth proportional to 418,768.32, 627,913.68 and 285,809.52 is: 428,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,768.32 : 627,913.68 = 285,809.52 : x
  2. Step 2: Convert to fraction form
    418,768.32/627,913.68 = 285,809.52/x
  3. Step 3: Cross multiply
    418,768.32x = 627,913.68 × 285,809.52
  4. Step 4: Simplify right side
    418,768.32x = 179,463,707,482.23
  5. Step 5: Solve for x
    x = 179,463,707,482.23/418,768.32
  6. Step 6: Final answer
    x = 428,551.30

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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.