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Finding the Fourth Proportional to 421,171.16, 631,525.38 and 207,468.86

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Solution

The fourth proportional to 421,171.16, 631,525.38 and 207,468.86 is: 311,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,171.16 : 631,525.38 = 207,468.86 : x
  2. Step 2: Convert to fraction form
    421,171.16/631,525.38 = 207,468.86/x
  3. Step 3: Cross multiply
    421,171.16x = 631,525.38 × 207,468.86
  4. Step 4: Simplify right side
    421,171.16x = 131,021,850,649.67
  5. Step 5: Solve for x
    x = 131,021,850,649.67/421,171.16
  6. Step 6: Final answer
    x = 311,089.32

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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.