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Finding the Fourth Proportional to 707,444.57, 976,122.14 and 420,908.69

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Solution

The fourth proportional to 707,444.57, 976,122.14 and 420,908.69 is: 580,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,444.57 : 976,122.14 = 420,908.69 : x
  2. Step 2: Convert to fraction form
    707,444.57/976,122.14 = 420,908.69/x
  3. Step 3: Cross multiply
    707,444.57x = 976,122.14 × 420,908.69
  4. Step 4: Simplify right side
    707,444.57x = 410,858,284,242.24
  5. Step 5: Solve for x
    x = 410,858,284,242.24/707,444.57
  6. Step 6: Final answer
    x = 580,763.93

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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.