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Finding the Fourth Proportional to 388,096.74, 535,396.50 and 280,496.34

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Solution

The fourth proportional to 388,096.74, 535,396.50 and 280,496.34 is: 386,957.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,096.74 : 535,396.50 = 280,496.34 : x
  2. Step 2: Convert to fraction form
    388,096.74/535,396.50 = 280,496.34/x
  3. Step 3: Cross multiply
    388,096.74x = 535,396.50 × 280,496.34
  4. Step 4: Simplify right side
    388,096.74x = 150,176,758,698.81
  5. Step 5: Solve for x
    x = 150,176,758,698.81/388,096.74
  6. Step 6: Final answer
    x = 386,957.02

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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.