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Finding the Fourth Proportional to 509,805.07, 703,244.06 and 305,801.71

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Solution

The fourth proportional to 509,805.07, 703,244.06 and 305,801.71 is: 421,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,805.07 : 703,244.06 = 305,801.71 : x
  2. Step 2: Convert to fraction form
    509,805.07/703,244.06 = 305,801.71/x
  3. Step 3: Cross multiply
    509,805.07x = 703,244.06 × 305,801.71
  4. Step 4: Simplify right side
    509,805.07x = 215,053,233,954.98
  5. Step 5: Solve for x
    x = 215,053,233,954.98/509,805.07
  6. Step 6: Final answer
    x = 421,834.24

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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.