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Finding the Fourth Proportional to 275,977.78, 413,574.63 and 212,558.02

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Solution

The fourth proportional to 275,977.78, 413,574.63 and 212,558.02 is: 318,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,977.78 : 413,574.63 = 212,558.02 : x
  2. Step 2: Convert to fraction form
    275,977.78/413,574.63 = 212,558.02/x
  3. Step 3: Cross multiply
    275,977.78x = 413,574.63 × 212,558.02
  4. Step 4: Simplify right side
    275,977.78x = 87,908,604,475.03
  5. Step 5: Solve for x
    x = 87,908,604,475.03/275,977.78
  6. Step 6: Final answer
    x = 318,535.08

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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.