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Finding the Fourth Proportional to 539,612.52, 809,421.23 and 140,225.01

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Solution

The fourth proportional to 539,612.52, 809,421.23 and 140,225.01 is: 210,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,612.52 : 809,421.23 = 140,225.01 : x
  2. Step 2: Convert to fraction form
    539,612.52/809,421.23 = 140,225.01/x
  3. Step 3: Cross multiply
    539,612.52x = 809,421.23 × 140,225.01
  4. Step 4: Simplify right side
    539,612.52x = 113,501,100,070.96
  5. Step 5: Solve for x
    x = 113,501,100,070.96/539,612.52
  6. Step 6: Final answer
    x = 210,338.15

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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.