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Finding the Fourth Proportional to 652,311.60, 978,467.40 and 439,735.20

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Solution

The fourth proportional to 652,311.60, 978,467.40 and 439,735.20 is: 659,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,311.60 : 978,467.40 = 439,735.20 : x
  2. Step 2: Convert to fraction form
    652,311.60/978,467.40 = 439,735.20/x
  3. Step 3: Cross multiply
    652,311.60x = 978,467.40 × 439,735.20
  4. Step 4: Simplify right side
    652,311.60x = 430,266,557,832.48
  5. Step 5: Solve for x
    x = 430,266,557,832.48/652,311.60
  6. Step 6: Final answer
    x = 659,602.80

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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.