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Finding the Fourth Proportional to 449,646.12, 620,217.81 and 288,245.52

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Solution

The fourth proportional to 449,646.12, 620,217.81 and 288,245.52 is: 397,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,646.12 : 620,217.81 = 288,245.52 : x
  2. Step 2: Convert to fraction form
    449,646.12/620,217.81 = 288,245.52/x
  3. Step 3: Cross multiply
    449,646.12x = 620,217.81 × 288,245.52
  4. Step 4: Simplify right side
    449,646.12x = 178,775,005,156.71
  5. Step 5: Solve for x
    x = 178,775,005,156.71/449,646.12
  6. Step 6: Final answer
    x = 397,590.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.