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Finding the Fourth Proportional to 509,274.57, 702,553.19 and 339,291.21

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Solution

The fourth proportional to 509,274.57, 702,553.19 and 339,291.21 is: 468,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,274.57 : 702,553.19 = 339,291.21 : x
  2. Step 2: Convert to fraction form
    509,274.57/702,553.19 = 339,291.21/x
  3. Step 3: Cross multiply
    509,274.57x = 702,553.19 × 339,291.21
  4. Step 4: Simplify right side
    509,274.57x = 238,370,120,228.00
  5. Step 5: Solve for x
    x = 238,370,120,228.00/509,274.57
  6. Step 6: Final answer
    x = 468,058.16

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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.