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Finding the Fourth Proportional to 707,710.80, 976,721.60 and 421,231.80

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Solution

The fourth proportional to 707,710.80, 976,721.60 and 421,231.80 is: 581,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,710.80 : 976,721.60 = 421,231.80 : x
  2. Step 2: Convert to fraction form
    707,710.80/976,721.60 = 421,231.80/x
  3. Step 3: Cross multiply
    707,710.80x = 976,721.60 × 421,231.80
  4. Step 4: Simplify right side
    707,710.80x = 411,426,197,666.88
  5. Step 5: Solve for x
    x = 411,426,197,666.88/707,710.80
  6. Step 6: Final answer
    x = 581,347.91

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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.