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Finding the Fourth Proportional to 328,907.28, 493,274.52 and 141,877.20

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Solution

The fourth proportional to 328,907.28, 493,274.52 and 141,877.20 is: 212,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,907.28 : 493,274.52 = 141,877.20 : x
  2. Step 2: Convert to fraction form
    328,907.28/493,274.52 = 141,877.20/x
  3. Step 3: Cross multiply
    328,907.28x = 493,274.52 × 141,877.20
  4. Step 4: Simplify right side
    328,907.28x = 69,984,407,728.94
  5. Step 5: Solve for x
    x = 69,984,407,728.94/328,907.28
  6. Step 6: Final answer
    x = 212,778.53

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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.