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Finding the Fourth Proportional to 462,758.34, 638,653.62 and 281,482.77

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Solution

The fourth proportional to 462,758.34, 638,653.62 and 281,482.77 is: 388,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,758.34 : 638,653.62 = 281,482.77 : x
  2. Step 2: Convert to fraction form
    462,758.34/638,653.62 = 281,482.77/x
  3. Step 3: Cross multiply
    462,758.34x = 638,653.62 × 281,482.77
  4. Step 4: Simplify right side
    462,758.34x = 179,769,990,028.13
  5. Step 5: Solve for x
    x = 179,769,990,028.13/462,758.34
  6. Step 6: Final answer
    x = 388,474.88

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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.