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Finding the Fourth Proportional to 540,394.98, 810,608.94 and 185,404.02

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Solution

The fourth proportional to 540,394.98, 810,608.94 and 185,404.02 is: 278,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,394.98 : 810,608.94 = 185,404.02 : x
  2. Step 2: Convert to fraction form
    540,394.98/810,608.94 = 185,404.02/x
  3. Step 3: Cross multiply
    540,394.98x = 810,608.94 × 185,404.02
  4. Step 4: Simplify right side
    540,394.98x = 150,290,156,123.94
  5. Step 5: Solve for x
    x = 150,290,156,123.94/540,394.98
  6. Step 6: Final answer
    x = 278,111.68

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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.