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Finding the Fourth Proportional to 509,695.28, 703,300.75 and 294,855.33

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Solution

The fourth proportional to 509,695.28, 703,300.75 and 294,855.33 is: 406,854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,695.28 : 703,300.75 = 294,855.33 : x
  2. Step 2: Convert to fraction form
    509,695.28/703,300.75 = 294,855.33/x
  3. Step 3: Cross multiply
    509,695.28x = 703,300.75 × 294,855.33
  4. Step 4: Simplify right side
    509,695.28x = 207,371,973,993.36
  5. Step 5: Solve for x
    x = 207,371,973,993.36/509,695.28
  6. Step 6: Final answer
    x = 406,854.81

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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.