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Finding the Fourth Proportional to 320,454, 442,050.74 and 205,604.40

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Solution

The fourth proportional to 320,454, 442,050.74 and 205,604.40 is: 283,621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,454 : 442,050.74 = 205,604.40 : x
  2. Step 2: Convert to fraction form
    320,454/442,050.74 = 205,604.40/x
  3. Step 3: Cross multiply
    320,454x = 442,050.74 × 205,604.40
  4. Step 4: Simplify right side
    320,454x = 90,887,577,167.26
  5. Step 5: Solve for x
    x = 90,887,577,167.26/320,454
  6. Step 6: Final answer
    x = 283,621.29

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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.