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Finding the Fourth Proportional to 553,605.40, 829,241.70 and 448,629.40

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Solution

The fourth proportional to 553,605.40, 829,241.70 and 448,629.40 is: 671,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,605.40 : 829,241.70 = 448,629.40 : x
  2. Step 2: Convert to fraction form
    553,605.40/829,241.70 = 448,629.40/x
  3. Step 3: Cross multiply
    553,605.40x = 829,241.70 × 448,629.40
  4. Step 4: Simplify right side
    553,605.40x = 372,022,206,325.98
  5. Step 5: Solve for x
    x = 372,022,206,325.98/553,605.40
  6. Step 6: Final answer
    x = 671,998.88

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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.