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Finding the Fourth Proportional to 511,341.04, 705,674.66 and 284,988.16

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Solution

The fourth proportional to 511,341.04, 705,674.66 and 284,988.16 is: 393,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,341.04 : 705,674.66 = 284,988.16 : x
  2. Step 2: Convert to fraction form
    511,341.04/705,674.66 = 284,988.16/x
  3. Step 3: Cross multiply
    511,341.04x = 705,674.66 × 284,988.16
  4. Step 4: Simplify right side
    511,341.04x = 201,108,922,912.03
  5. Step 5: Solve for x
    x = 201,108,922,912.03/511,341.04
  6. Step 6: Final answer
    x = 393,297.05

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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.