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Finding the Fourth Proportional to 285,650.86, 428,532.34 and 105,737.86

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Solution

The fourth proportional to 285,650.86, 428,532.34 and 105,737.86 is: 158,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,650.86 : 428,532.34 = 105,737.86 : x
  2. Step 2: Convert to fraction form
    285,650.86/428,532.34 = 105,737.86/x
  3. Step 3: Cross multiply
    285,650.86x = 428,532.34 × 105,737.86
  4. Step 4: Simplify right side
    285,650.86x = 45,312,091,236.72
  5. Step 5: Solve for x
    x = 45,312,091,236.72/285,650.86
  6. Step 6: Final answer
    x = 158,627.53

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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.