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Finding the Fourth Proportional to 409,854, 565,602.84 and 231,006

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Solution

The fourth proportional to 409,854, 565,602.84 and 231,006 is: 318,790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,854 : 565,602.84 = 231,006 : x
  2. Step 2: Convert to fraction form
    409,854/565,602.84 = 231,006/x
  3. Step 3: Cross multiply
    409,854x = 565,602.84 × 231,006
  4. Step 4: Simplify right side
    409,854x = 130,657,649,657.04
  5. Step 5: Solve for x
    x = 130,657,649,657.04/409,854
  6. Step 6: Final answer
    x = 318,790.71

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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.