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Finding the Fourth Proportional to 432,900.71, 649,482.47 and 208,197.38

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Solution

The fourth proportional to 432,900.71, 649,482.47 and 208,197.38 is: 312,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,900.71 : 649,482.47 = 208,197.38 : x
  2. Step 2: Convert to fraction form
    432,900.71/649,482.47 = 208,197.38/x
  3. Step 3: Cross multiply
    432,900.71x = 649,482.47 × 208,197.38
  4. Step 4: Simplify right side
    432,900.71x = 135,220,548,609.93
  5. Step 5: Solve for x
    x = 135,220,548,609.93/432,900.71
  6. Step 6: Final answer
    x = 312,359.27

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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.