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Finding the Fourth Proportional to 419,163.52, 578,355.96 and 249,364.48

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Solution

The fourth proportional to 419,163.52, 578,355.96 and 249,364.48 is: 344,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,163.52 : 578,355.96 = 249,364.48 : x
  2. Step 2: Convert to fraction form
    419,163.52/578,355.96 = 249,364.48/x
  3. Step 3: Cross multiply
    419,163.52x = 578,355.96 × 249,364.48
  4. Step 4: Simplify right side
    419,163.52x = 144,221,433,220.30
  5. Step 5: Solve for x
    x = 144,221,433,220.30/419,163.52
  6. Step 6: Final answer
    x = 344,069.62

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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.