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Finding the Fourth Proportional to 340,304.31, 509,564.66 and 239,921.01

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Solution

The fourth proportional to 340,304.31, 509,564.66 and 239,921.01 is: 359,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,304.31 : 509,564.66 = 239,921.01 : x
  2. Step 2: Convert to fraction form
    340,304.31/509,564.66 = 239,921.01/x
  3. Step 3: Cross multiply
    340,304.31x = 509,564.66 × 239,921.01
  4. Step 4: Simplify right side
    340,304.31x = 122,255,266,687.90
  5. Step 5: Solve for x
    x = 122,255,266,687.90/340,304.31
  6. Step 6: Final answer
    x = 359,252.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.