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Finding the Fourth Proportional to 320,203.74, 441,595.10 and 265,669.56

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Solution

The fourth proportional to 320,203.74, 441,595.10 and 265,669.56 is: 366,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,203.74 : 441,595.10 = 265,669.56 : x
  2. Step 2: Convert to fraction form
    320,203.74/441,595.10 = 265,669.56/x
  3. Step 3: Cross multiply
    320,203.74x = 441,595.10 × 265,669.56
  4. Step 4: Simplify right side
    320,203.74x = 117,318,376,579.33
  5. Step 5: Solve for x
    x = 117,318,376,579.33/320,203.74
  6. Step 6: Final answer
    x = 366,386.65

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1.5x scale

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.