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Finding the Fourth Proportional to 314,352.57, 471,529 and 103,990.50

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Solution

The fourth proportional to 314,352.57, 471,529 and 103,990.50 is: 155,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,352.57 : 471,529 = 103,990.50 : x
  2. Step 2: Convert to fraction form
    314,352.57/471,529 = 103,990.50/x
  3. Step 3: Cross multiply
    314,352.57x = 471,529 × 103,990.50
  4. Step 4: Simplify right side
    314,352.57x = 49,034,536,474.50
  5. Step 5: Solve for x
    x = 49,034,536,474.50/314,352.57
  6. Step 6: Final answer
    x = 155,985.80

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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.