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Finding the Fourth Proportional to 419,170.52, 578,365.62 and 249,371.48

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Solution

The fourth proportional to 419,170.52, 578,365.62 and 249,371.48 is: 344,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,170.52 : 578,365.62 = 249,371.48 : x
  2. Step 2: Convert to fraction form
    419,170.52/578,365.62 = 249,371.48/x
  3. Step 3: Cross multiply
    419,170.52x = 578,365.62 × 249,371.48
  4. Step 4: Simplify right side
    419,170.52x = 144,227,890,640.52
  5. Step 5: Solve for x
    x = 144,227,890,640.52/419,170.52
  6. Step 6: Final answer
    x = 344,079.28

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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.