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Finding the Fourth Proportional to 409,426.40, 614,139.60 and 339,442.40

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Solution

The fourth proportional to 409,426.40, 614,139.60 and 339,442.40 is: 509,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,426.40 : 614,139.60 = 339,442.40 : x
  2. Step 2: Convert to fraction form
    409,426.40/614,139.60 = 339,442.40/x
  3. Step 3: Cross multiply
    409,426.40x = 614,139.60 × 339,442.40
  4. Step 4: Simplify right side
    409,426.40x = 208,465,019,759.04
  5. Step 5: Solve for x
    x = 208,465,019,759.04/409,426.40
  6. Step 6: Final answer
    x = 509,163.60

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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.