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Finding the Fourth Proportional to 442,930.40, 664,395.60 and 411,437.60

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Solution

The fourth proportional to 442,930.40, 664,395.60 and 411,437.60 is: 617,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,930.40 : 664,395.60 = 411,437.60 : x
  2. Step 2: Convert to fraction form
    442,930.40/664,395.60 = 411,437.60/x
  3. Step 3: Cross multiply
    442,930.40x = 664,395.60 × 411,437.60
  4. Step 4: Simplify right side
    442,930.40x = 273,357,331,114.56
  5. Step 5: Solve for x
    x = 273,357,331,114.56/442,930.40
  6. Step 6: Final answer
    x = 617,156.40

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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.