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Finding the Fourth Proportional to 865,662.86, 1,298,559.57 and 258,403.22

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Solution

The fourth proportional to 865,662.86, 1,298,559.57 and 258,403.22 is: 387,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,662.86 : 1,298,559.57 = 258,403.22 : x
  2. Step 2: Convert to fraction form
    865,662.86/1,298,559.57 = 258,403.22/x
  3. Step 3: Cross multiply
    865,662.86x = 1,298,559.57 × 258,403.22
  4. Step 4: Simplify right side
    865,662.86x = 335,551,966,465.00
  5. Step 5: Solve for x
    x = 335,551,966,465.00/865,662.86
  6. Step 6: Final answer
    x = 387,624.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.