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Finding the Fourth Proportional to 307,529.64, 424,394.10 and 171,576

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Solution

The fourth proportional to 307,529.64, 424,394.10 and 171,576 is: 236,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,529.64 : 424,394.10 = 171,576 : x
  2. Step 2: Convert to fraction form
    307,529.64/424,394.10 = 171,576/x
  3. Step 3: Cross multiply
    307,529.64x = 424,394.10 × 171,576
  4. Step 4: Simplify right side
    307,529.64x = 72,815,842,101.60
  5. Step 5: Solve for x
    x = 72,815,842,101.60/307,529.64
  6. Step 6: Final answer
    x = 236,776.66

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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.