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Finding the Fourth Proportional to 462,878.72, 638,742.51 and 258,894.29

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Solution

The fourth proportional to 462,878.72, 638,742.51 and 258,894.29 is: 357,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,878.72 : 638,742.51 = 258,894.29 : x
  2. Step 2: Convert to fraction form
    462,878.72/638,742.51 = 258,894.29/x
  3. Step 3: Cross multiply
    462,878.72x = 638,742.51 × 258,894.29
  4. Step 4: Simplify right side
    462,878.72x = 165,366,790,216.12
  5. Step 5: Solve for x
    x = 165,366,790,216.12/462,878.72
  6. Step 6: Final answer
    x = 357,257.28

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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.