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Finding the Fourth Proportional to 667,373.49, 920,978.16 and 361,453.50

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Solution

The fourth proportional to 667,373.49, 920,978.16 and 361,453.50 is: 498,807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,373.49 : 920,978.16 = 361,453.50 : x
  2. Step 2: Convert to fraction form
    667,373.49/920,978.16 = 361,453.50/x
  3. Step 3: Cross multiply
    667,373.49x = 920,978.16 × 361,453.50
  4. Step 4: Simplify right side
    667,373.49x = 332,890,779,355.56
  5. Step 5: Solve for x
    x = 332,890,779,355.56/667,373.49
  6. Step 6: Final answer
    x = 498,807.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.