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Finding the Fourth Proportional to 511,687.80, 705,845.64 and 358,953.36

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Solution

The fourth proportional to 511,687.80, 705,845.64 and 358,953.36 is: 495,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,687.80 : 705,845.64 = 358,953.36 : x
  2. Step 2: Convert to fraction form
    511,687.80/705,845.64 = 358,953.36/x
  3. Step 3: Cross multiply
    511,687.80x = 705,845.64 × 358,953.36
  4. Step 4: Simplify right side
    511,687.80x = 253,365,664,119.35
  5. Step 5: Solve for x
    x = 253,365,664,119.35/511,687.80
  6. Step 6: Final answer
    x = 495,156.74

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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.