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Finding the Fourth Proportional to 409,877.43, 565,732.26 and 279,271.15

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Solution

The fourth proportional to 409,877.43, 565,732.26 and 279,271.15 is: 385,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,877.43 : 565,732.26 = 279,271.15 : x
  2. Step 2: Convert to fraction form
    409,877.43/565,732.26 = 279,271.15/x
  3. Step 3: Cross multiply
    409,877.43x = 565,732.26 × 279,271.15
  4. Step 4: Simplify right side
    409,877.43x = 157,992,696,013.64
  5. Step 5: Solve for x
    x = 157,992,696,013.64/409,877.43
  6. Step 6: Final answer
    x = 385,463.28

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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.