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Finding the Fourth Proportional to 651,914.80, 978,163.80 and 314,825.20

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Solution

The fourth proportional to 651,914.80, 978,163.80 and 314,825.20 is: 472,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,914.80 : 978,163.80 = 314,825.20 : x
  2. Step 2: Convert to fraction form
    651,914.80/978,163.80 = 314,825.20/x
  3. Step 3: Cross multiply
    651,914.80x = 978,163.80 × 314,825.20
  4. Step 4: Simplify right side
    651,914.80x = 307,950,613,967.76
  5. Step 5: Solve for x
    x = 307,950,613,967.76/651,914.80
  6. Step 6: Final answer
    x = 472,378.62

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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.