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Finding the Fourth Proportional to 345,297.32, 517,945.98 and 325,805.48

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Solution

The fourth proportional to 345,297.32, 517,945.98 and 325,805.48 is: 488,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,297.32 : 517,945.98 = 325,805.48 : x
  2. Step 2: Convert to fraction form
    345,297.32/517,945.98 = 325,805.48/x
  3. Step 3: Cross multiply
    345,297.32x = 517,945.98 × 325,805.48
  4. Step 4: Simplify right side
    345,297.32x = 168,749,636,038.24
  5. Step 5: Solve for x
    x = 168,749,636,038.24/345,297.32
  6. Step 6: Final answer
    x = 488,708.22

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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.