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Finding the Fourth Proportional to 523,684.06, 785,524.60 and 139,432.88

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Solution

The fourth proportional to 523,684.06, 785,524.60 and 139,432.88 is: 209,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,684.06 : 785,524.60 = 139,432.88 : x
  2. Step 2: Convert to fraction form
    523,684.06/785,524.60 = 139,432.88/x
  3. Step 3: Cross multiply
    523,684.06x = 785,524.60 × 139,432.88
  4. Step 4: Simplify right side
    523,684.06x = 109,527,956,456.40
  5. Step 5: Solve for x
    x = 109,527,956,456.40/523,684.06
  6. Step 6: Final answer
    x = 209,148.92

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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.