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Finding the Fourth Proportional to 442,542.51, 610,617.15 and 258,745.68

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Solution

The fourth proportional to 442,542.51, 610,617.15 and 258,745.68 is: 357,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,542.51 : 610,617.15 = 258,745.68 : x
  2. Step 2: Convert to fraction form
    442,542.51/610,617.15 = 258,745.68/x
  3. Step 3: Cross multiply
    442,542.51x = 610,617.15 × 258,745.68
  4. Step 4: Simplify right side
    442,542.51x = 157,994,549,696.41
  5. Step 5: Solve for x
    x = 157,994,549,696.41/442,542.51
  6. Step 6: Final answer
    x = 357,015.53

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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.