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Finding the Fourth Proportional to 646,057.92, 891,551 and 359,578.10

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Solution

The fourth proportional to 646,057.92, 891,551 and 359,578.10 is: 496,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,057.92 : 891,551 = 359,578.10 : x
  2. Step 2: Convert to fraction form
    646,057.92/891,551 = 359,578.10/x
  3. Step 3: Cross multiply
    646,057.92x = 891,551 × 359,578.10
  4. Step 4: Simplify right side
    646,057.92x = 320,582,214,633.10
  5. Step 5: Solve for x
    x = 320,582,214,633.10/646,057.92
  6. Step 6: Final answer
    x = 496,212.81

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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.