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Finding the Fourth Proportional to 305,044.80, 457,692.56 and 134,178.52

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Solution

The fourth proportional to 305,044.80, 457,692.56 and 134,178.52 is: 201,322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,044.80 : 457,692.56 = 134,178.52 : x
  2. Step 2: Convert to fraction form
    305,044.80/457,692.56 = 134,178.52/x
  3. Step 3: Cross multiply
    305,044.80x = 457,692.56 × 134,178.52
  4. Step 4: Simplify right side
    305,044.80x = 61,412,510,315.81
  5. Step 5: Solve for x
    x = 61,412,510,315.81/305,044.80
  6. Step 6: Final answer
    x = 201,322.92

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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.