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Finding the Fourth Proportional to 707,213.42, 976,390.56 and 486,827

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Solution

The fourth proportional to 707,213.42, 976,390.56 and 486,827 is: 672,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,213.42 : 976,390.56 = 486,827 : x
  2. Step 2: Convert to fraction form
    707,213.42/976,390.56 = 486,827/x
  3. Step 3: Cross multiply
    707,213.42x = 976,390.56 × 486,827
  4. Step 4: Simplify right side
    707,213.42x = 475,333,287,153.12
  5. Step 5: Solve for x
    x = 475,333,287,153.12/707,213.42
  6. Step 6: Final answer
    x = 672,121.42

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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.