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Finding the Fourth Proportional to 542,124.20, 812,603.10 and 205,034.60

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Solution

The fourth proportional to 542,124.20, 812,603.10 and 205,034.60 is: 307,331.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,124.20 : 812,603.10 = 205,034.60 : x
  2. Step 2: Convert to fraction form
    542,124.20/812,603.10 = 205,034.60/x
  3. Step 3: Cross multiply
    542,124.20x = 812,603.10 × 205,034.60
  4. Step 4: Simplify right side
    542,124.20x = 166,611,751,567.26
  5. Step 5: Solve for x
    x = 166,611,751,567.26/542,124.20
  6. Step 6: Final answer
    x = 307,331.33

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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.