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Finding the Fourth Proportional to 542,127.20, 812,607.60 and 205,037.60

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Solution

The fourth proportional to 542,127.20, 812,607.60 and 205,037.60 is: 307,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,127.20 : 812,607.60 = 205,037.60 : x
  2. Step 2: Convert to fraction form
    542,127.20/812,607.60 = 205,037.60/x
  3. Step 3: Cross multiply
    542,127.20x = 812,607.60 × 205,037.60
  4. Step 4: Simplify right side
    542,127.20x = 166,615,112,045.76
  5. Step 5: Solve for x
    x = 166,615,112,045.76/542,127.20
  6. Step 6: Final answer
    x = 307,335.83

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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.