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Finding the Fourth Proportional to 542,145.20, 812,634.60 and 205,055.60

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Solution

The fourth proportional to 542,145.20, 812,634.60 and 205,055.60 is: 307,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,145.20 : 812,634.60 = 205,055.60 : x
  2. Step 2: Convert to fraction form
    542,145.20/812,634.60 = 205,055.60/x
  3. Step 3: Cross multiply
    542,145.20x = 812,634.60 × 205,055.60
  4. Step 4: Simplify right side
    542,145.20x = 166,635,275,483.76
  5. Step 5: Solve for x
    x = 166,635,275,483.76/542,145.20
  6. Step 6: Final answer
    x = 307,362.82

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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.