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Finding the Fourth Proportional to 707,703.80, 976,711.92 and 421,224.80

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Solution

The fourth proportional to 707,703.80, 976,711.92 and 421,224.80 is: 581,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,703.80 : 976,711.92 = 421,224.80 : x
  2. Step 2: Convert to fraction form
    707,703.80/976,711.92 = 421,224.80/x
  3. Step 3: Cross multiply
    707,703.80x = 976,711.92 × 421,224.80
  4. Step 4: Simplify right side
    707,703.80x = 411,415,283,159.62
  5. Step 5: Solve for x
    x = 411,415,283,159.62/707,703.80
  6. Step 6: Final answer
    x = 581,338.24

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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.