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Finding the Fourth Proportional to 509,145.65, 702,542.93 and 294,244.23

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Solution

The fourth proportional to 509,145.65, 702,542.93 and 294,244.23 is: 406,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,145.65 : 702,542.93 = 294,244.23 : x
  2. Step 2: Convert to fraction form
    509,145.65/702,542.93 = 294,244.23/x
  3. Step 3: Cross multiply
    509,145.65x = 702,542.93 × 294,244.23
  4. Step 4: Simplify right side
    509,145.65x = 206,719,202,008.57
  5. Step 5: Solve for x
    x = 206,719,202,008.57/509,145.65
  6. Step 6: Final answer
    x = 406,011.92

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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.