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Finding the Fourth Proportional to 527,065.41, 790,313.76 and 273,720.90

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Solution

The fourth proportional to 527,065.41, 790,313.76 and 273,720.90 is: 410,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,065.41 : 790,313.76 = 273,720.90 : x
  2. Step 2: Convert to fraction form
    527,065.41/790,313.76 = 273,720.90/x
  3. Step 3: Cross multiply
    527,065.41x = 790,313.76 × 273,720.90
  4. Step 4: Simplify right side
    527,065.41x = 216,325,393,669.58
  5. Step 5: Solve for x
    x = 216,325,393,669.58/527,065.41
  6. Step 6: Final answer
    x = 410,433.68

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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.