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Finding the Fourth Proportional to 654,564.87, 903,308.63 and 490,933.53

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Solution

The fourth proportional to 654,564.87, 903,308.63 and 490,933.53 is: 677,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,564.87 : 903,308.63 = 490,933.53 : x
  2. Step 2: Convert to fraction form
    654,564.87/903,308.63 = 490,933.53/x
  3. Step 3: Cross multiply
    654,564.87x = 903,308.63 × 490,933.53
  4. Step 4: Simplify right side
    654,564.87x = 443,464,491,950.70
  5. Step 5: Solve for x
    x = 443,464,491,950.70/654,564.87
  6. Step 6: Final answer
    x = 677,495.10

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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.