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Finding the Fourth Proportional to 462,694.05, 638,513.42 and 258,742.64

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Solution

The fourth proportional to 462,694.05, 638,513.42 and 258,742.64 is: 357,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,694.05 : 638,513.42 = 258,742.64 : x
  2. Step 2: Convert to fraction form
    462,694.05/638,513.42 = 258,742.64/x
  3. Step 3: Cross multiply
    462,694.05x = 638,513.42 × 258,742.64
  4. Step 4: Simplify right side
    462,694.05x = 165,210,643,479.95
  5. Step 5: Solve for x
    x = 165,210,643,479.95/462,694.05
  6. Step 6: Final answer
    x = 357,062.39

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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.