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Finding the Fourth Proportional to 331,387.54, 457,314.78 and 180,484.54

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Solution

The fourth proportional to 331,387.54, 457,314.78 and 180,484.54 is: 249,068.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,387.54 : 457,314.78 = 180,484.54 : x
  2. Step 2: Convert to fraction form
    331,387.54/457,314.78 = 180,484.54/x
  3. Step 3: Cross multiply
    331,387.54x = 457,314.78 × 180,484.54
  4. Step 4: Simplify right side
    331,387.54x = 82,538,247,703.50
  5. Step 5: Solve for x
    x = 82,538,247,703.50/331,387.54
  6. Step 6: Final answer
    x = 249,068.65

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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.