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Finding the Fourth Proportional to 542,734.40, 814,490.40 and 305,825.60

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Solution

The fourth proportional to 542,734.40, 814,490.40 and 305,825.60 is: 458,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,734.40 : 814,490.40 = 305,825.60 : x
  2. Step 2: Convert to fraction form
    542,734.40/814,490.40 = 305,825.60/x
  3. Step 3: Cross multiply
    542,734.40x = 814,490.40 × 305,825.60
  4. Step 4: Simplify right side
    542,734.40x = 249,092,015,274.24
  5. Step 5: Solve for x
    x = 249,092,015,274.24/542,734.40
  6. Step 6: Final answer
    x = 458,957.49

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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.