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Finding the Fourth Proportional to 652,185.60, 978,278.40 and 439,609.20

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Solution

The fourth proportional to 652,185.60, 978,278.40 and 439,609.20 is: 659,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,185.60 : 978,278.40 = 439,609.20 : x
  2. Step 2: Convert to fraction form
    652,185.60/978,278.40 = 439,609.20/x
  3. Step 3: Cross multiply
    652,185.60x = 978,278.40 × 439,609.20
  4. Step 4: Simplify right side
    652,185.60x = 430,060,184,801.28
  5. Step 5: Solve for x
    x = 430,060,184,801.28/652,185.60
  6. Step 6: Final answer
    x = 659,413.80

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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.