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Finding the Fourth Proportional to 407,874.42, 611,811.80 and 155,096.50

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Solution

The fourth proportional to 407,874.42, 611,811.80 and 155,096.50 is: 232,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,874.42 : 611,811.80 = 155,096.50 : x
  2. Step 2: Convert to fraction form
    407,874.42/611,811.80 = 155,096.50/x
  3. Step 3: Cross multiply
    407,874.42x = 611,811.80 × 155,096.50
  4. Step 4: Simplify right side
    407,874.42x = 94,889,868,838.70
  5. Step 5: Solve for x
    x = 94,889,868,838.70/407,874.42
  6. Step 6: Final answer
    x = 232,644.81

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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.