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Finding the Fourth Proportional to 538,581.40, 743,247.54 and 296,873.32

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Solution

The fourth proportional to 538,581.40, 743,247.54 and 296,873.32 is: 409,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,581.40 : 743,247.54 = 296,873.32 : x
  2. Step 2: Convert to fraction form
    538,581.40/743,247.54 = 296,873.32/x
  3. Step 3: Cross multiply
    538,581.40x = 743,247.54 × 296,873.32
  4. Step 4: Simplify right side
    538,581.40x = 220,650,364,781.63
  5. Step 5: Solve for x
    x = 220,650,364,781.63/538,581.40
  6. Step 6: Final answer
    x = 409,688.05

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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.