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Finding the Fourth Proportional to 652,172.10, 978,258.15 and 231,393.30

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Solution

The fourth proportional to 652,172.10, 978,258.15 and 231,393.30 is: 347,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,172.10 : 978,258.15 = 231,393.30 : x
  2. Step 2: Convert to fraction form
    652,172.10/978,258.15 = 231,393.30/x
  3. Step 3: Cross multiply
    652,172.10x = 978,258.15 × 231,393.30
  4. Step 4: Simplify right side
    652,172.10x = 226,362,381,580.40
  5. Step 5: Solve for x
    x = 226,362,381,580.40/652,172.10
  6. Step 6: Final answer
    x = 347,089.95

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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.