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Finding the Fourth Proportional to 408,672.70, 612,984.36 and 152,455.93

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Solution

The fourth proportional to 408,672.70, 612,984.36 and 152,455.93 is: 228,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,672.70 : 612,984.36 = 152,455.93 : x
  2. Step 2: Convert to fraction form
    408,672.70/612,984.36 = 152,455.93/x
  3. Step 3: Cross multiply
    408,672.70x = 612,984.36 × 152,455.93
  4. Step 4: Simplify right side
    408,672.70x = 93,453,100,679.25
  5. Step 5: Solve for x
    x = 93,453,100,679.25/408,672.70
  6. Step 6: Final answer
    x = 228,674.68

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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.