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Finding the Fourth Proportional to 711,408.46, 981,751.29 and 389,111.65

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Solution

The fourth proportional to 711,408.46, 981,751.29 and 389,111.65 is: 536,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,408.46 : 981,751.29 = 389,111.65 : x
  2. Step 2: Convert to fraction form
    711,408.46/981,751.29 = 389,111.65/x
  3. Step 3: Cross multiply
    711,408.46x = 981,751.29 × 389,111.65
  4. Step 4: Simplify right side
    711,408.46x = 382,010,864,341.53
  5. Step 5: Solve for x
    x = 382,010,864,341.53/711,408.46
  6. Step 6: Final answer
    x = 536,978.24

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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.