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Finding the Fourth Proportional to 707,703.30, 976,711.23 and 421,224.30

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Solution

The fourth proportional to 707,703.30, 976,711.23 and 421,224.30 is: 581,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,703.30 : 976,711.23 = 421,224.30 : x
  2. Step 2: Convert to fraction form
    707,703.30/976,711.23 = 421,224.30/x
  3. Step 3: Cross multiply
    707,703.30x = 976,711.23 × 421,224.30
  4. Step 4: Simplify right side
    707,703.30x = 411,414,504,158.89
  5. Step 5: Solve for x
    x = 411,414,504,158.89/707,703.30
  6. Step 6: Final answer
    x = 581,337.55

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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.