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Finding the Fourth Proportional to 320,717.42, 480,692.21 and 149,709.06

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Solution

The fourth proportional to 320,717.42, 480,692.21 and 149,709.06 is: 224,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,717.42 : 480,692.21 = 149,709.06 : x
  2. Step 2: Convert to fraction form
    320,717.42/480,692.21 = 149,709.06/x
  3. Step 3: Cross multiply
    320,717.42x = 480,692.21 × 149,709.06
  4. Step 4: Simplify right side
    320,717.42x = 71,963,978,908.42
  5. Step 5: Solve for x
    x = 71,963,978,908.42/320,717.42
  6. Step 6: Final answer
    x = 224,384.38

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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.