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Finding the Fourth Proportional to 666,909.46, 920,249.26 and 380,412.46

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Solution

The fourth proportional to 666,909.46, 920,249.26 and 380,412.46 is: 524,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,909.46 : 920,249.26 = 380,412.46 : x
  2. Step 2: Convert to fraction form
    666,909.46/920,249.26 = 380,412.46/x
  3. Step 3: Cross multiply
    666,909.46x = 920,249.26 × 380,412.46
  4. Step 4: Simplify right side
    666,909.46x = 350,074,284,809.78
  5. Step 5: Solve for x
    x = 350,074,284,809.78/666,909.46
  6. Step 6: Final answer
    x = 524,920.26

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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.