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Finding the Fourth Proportional to 454,434.94, 681,652.43 and 138,889.11

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Solution

The fourth proportional to 454,434.94, 681,652.43 and 138,889.11 is: 208,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,434.94 : 681,652.43 = 138,889.11 : x
  2. Step 2: Convert to fraction form
    454,434.94/681,652.43 = 138,889.11/x
  3. Step 3: Cross multiply
    454,434.94x = 681,652.43 × 138,889.11
  4. Step 4: Simplify right side
    454,434.94x = 94,674,101,714.62
  5. Step 5: Solve for x
    x = 94,674,101,714.62/454,434.94
  6. Step 6: Final answer
    x = 208,333.68

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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.