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Finding the Fourth Proportional to 511,209.72, 705,510.09 and 281,807.82

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Solution

The fourth proportional to 511,209.72, 705,510.09 and 281,807.82 is: 388,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,209.72 : 705,510.09 = 281,807.82 : x
  2. Step 2: Convert to fraction form
    511,209.72/705,510.09 = 281,807.82/x
  3. Step 3: Cross multiply
    511,209.72x = 705,510.09 × 281,807.82
  4. Step 4: Simplify right side
    511,209.72x = 198,818,260,450.90
  5. Step 5: Solve for x
    x = 198,818,260,450.90/511,209.72
  6. Step 6: Final answer
    x = 388,917.21

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1.5x scale

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.