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Finding the Fourth Proportional to 489,157.60, 733,732.08 and 156,733.60

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Solution

The fourth proportional to 489,157.60, 733,732.08 and 156,733.60 is: 235,099.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,157.60 : 733,732.08 = 156,733.60 : x
  2. Step 2: Convert to fraction form
    489,157.60/733,732.08 = 156,733.60/x
  3. Step 3: Cross multiply
    489,157.60x = 733,732.08 × 156,733.60
  4. Step 4: Simplify right side
    489,157.60x = 115,000,470,333.89
  5. Step 5: Solve for x
    x = 115,000,470,333.89/489,157.60
  6. Step 6: Final answer
    x = 235,099.02

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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.