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Finding the Fourth Proportional to 540,421.72, 810,509.19 and 203,497.90

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Solution

The fourth proportional to 540,421.72, 810,509.19 and 203,497.90 is: 305,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,421.72 : 810,509.19 = 203,497.90 : x
  2. Step 2: Convert to fraction form
    540,421.72/810,509.19 = 203,497.90/x
  3. Step 3: Cross multiply
    540,421.72x = 810,509.19 × 203,497.90
  4. Step 4: Simplify right side
    540,421.72x = 164,936,918,095.70
  5. Step 5: Solve for x
    x = 164,936,918,095.70/540,421.72
  6. Step 6: Final answer
    x = 305,200.39

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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.