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Finding the Fourth Proportional to 419,712.68, 579,371.46 and 249,914

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Solution

The fourth proportional to 419,712.68, 579,371.46 and 249,914 is: 344,981.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,712.68 : 579,371.46 = 249,914 : x
  2. Step 2: Convert to fraction form
    419,712.68/579,371.46 = 249,914/x
  3. Step 3: Cross multiply
    419,712.68x = 579,371.46 × 249,914
  4. Step 4: Simplify right side
    419,712.68x = 144,793,039,054.44
  5. Step 5: Solve for x
    x = 144,793,039,054.44/419,712.68
  6. Step 6: Final answer
    x = 344,981.33

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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.