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Finding the Fourth Proportional to 331,780, 457,856.40 and 212,548

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Solution

The fourth proportional to 331,780, 457,856.40 and 212,548 is: 293,316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,780 : 457,856.40 = 212,548 : x
  2. Step 2: Convert to fraction form
    331,780/457,856.40 = 212,548/x
  3. Step 3: Cross multiply
    331,780x = 457,856.40 × 212,548
  4. Step 4: Simplify right side
    331,780x = 97,316,462,107.20
  5. Step 5: Solve for x
    x = 97,316,462,107.20/331,780
  6. Step 6: Final answer
    x = 293,316.24

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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.