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Finding the Fourth Proportional to 331,869.36, 457,978.87 and 180,966.36

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Solution

The fourth proportional to 331,869.36, 457,978.87 and 180,966.36 is: 249,733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,869.36 : 457,978.87 = 180,966.36 : x
  2. Step 2: Convert to fraction form
    331,869.36/457,978.87 = 180,966.36/x
  3. Step 3: Cross multiply
    331,869.36x = 457,978.87 × 180,966.36
  4. Step 4: Simplify right side
    331,869.36x = 82,878,769,060.81
  5. Step 5: Solve for x
    x = 82,878,769,060.81/331,869.36
  6. Step 6: Final answer
    x = 249,733.12

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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.