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Finding the Fourth Proportional to 493,706.40, 740,406 and 178,122.40

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Solution

The fourth proportional to 493,706.40, 740,406 and 178,122.40 is: 267,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,706.40 : 740,406 = 178,122.40 : x
  2. Step 2: Convert to fraction form
    493,706.40/740,406 = 178,122.40/x
  3. Step 3: Cross multiply
    493,706.40x = 740,406 × 178,122.40
  4. Step 4: Simplify right side
    493,706.40x = 131,882,893,694.40
  5. Step 5: Solve for x
    x = 131,882,893,694.40/493,706.40
  6. Step 6: Final answer
    x = 267,128.18

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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.