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Finding the Fourth Proportional to 707,708.80, 976,718.84 and 421,229.80

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Solution

The fourth proportional to 707,708.80, 976,718.84 and 421,229.80 is: 581,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,708.80 : 976,718.84 = 421,229.80 : x
  2. Step 2: Convert to fraction form
    707,708.80/976,718.84 = 421,229.80/x
  3. Step 3: Cross multiply
    707,708.80x = 976,718.84 × 421,229.80
  4. Step 4: Simplify right side
    707,708.80x = 411,423,081,629.43
  5. Step 5: Solve for x
    x = 411,423,081,629.43/707,708.80
  6. Step 6: Final answer
    x = 581,345.15

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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.