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Finding the Fourth Proportional to 354,644.60, 531,966.90 and 275,329.40

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Solution

The fourth proportional to 354,644.60, 531,966.90 and 275,329.40 is: 412,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,644.60 : 531,966.90 = 275,329.40 : x
  2. Step 2: Convert to fraction form
    354,644.60/531,966.90 = 275,329.40/x
  3. Step 3: Cross multiply
    354,644.60x = 531,966.90 × 275,329.40
  4. Step 4: Simplify right side
    354,644.60x = 146,466,127,396.86
  5. Step 5: Solve for x
    x = 146,466,127,396.86/354,644.60
  6. Step 6: Final answer
    x = 412,994.10

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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.