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Finding the Fourth Proportional to 402,706.53, 603,682.54 and 136,280.52

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Solution

The fourth proportional to 402,706.53, 603,682.54 and 136,280.52 is: 204,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,706.53 : 603,682.54 = 136,280.52 : x
  2. Step 2: Convert to fraction form
    402,706.53/603,682.54 = 136,280.52/x
  3. Step 3: Cross multiply
    402,706.53x = 603,682.54 × 136,280.52
  4. Step 4: Simplify right side
    402,706.53x = 82,270,170,125.42
  5. Step 5: Solve for x
    x = 82,270,170,125.42/402,706.53
  6. Step 6: Final answer
    x = 204,293.11

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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.