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Finding the Fourth Proportional to 652,174.20, 978,261.30 and 178,907.40

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Solution

The fourth proportional to 652,174.20, 978,261.30 and 178,907.40 is: 268,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,174.20 : 978,261.30 = 178,907.40 : x
  2. Step 2: Convert to fraction form
    652,174.20/978,261.30 = 178,907.40/x
  3. Step 3: Cross multiply
    652,174.20x = 978,261.30 × 178,907.40
  4. Step 4: Simplify right side
    652,174.20x = 175,018,185,703.62
  5. Step 5: Solve for x
    x = 175,018,185,703.62/652,174.20
  6. Step 6: Final answer
    x = 268,361.10

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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.