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Finding the Fourth Proportional to 345,618, 476,952.84 and 186,642

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Solution

The fourth proportional to 345,618, 476,952.84 and 186,642 is: 257,565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,618 : 476,952.84 = 186,642 : x
  2. Step 2: Convert to fraction form
    345,618/476,952.84 = 186,642/x
  3. Step 3: Cross multiply
    345,618x = 476,952.84 × 186,642
  4. Step 4: Simplify right side
    345,618x = 89,019,431,963.28
  5. Step 5: Solve for x
    x = 89,019,431,963.28/345,618
  6. Step 6: Final answer
    x = 257,565.96

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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.