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Finding the Fourth Proportional to 307,985.40, 461,978.10 and 251,998.20

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Solution

The fourth proportional to 307,985.40, 461,978.10 and 251,998.20 is: 377,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,985.40 : 461,978.10 = 251,998.20 : x
  2. Step 2: Convert to fraction form
    307,985.40/461,978.10 = 251,998.20/x
  3. Step 3: Cross multiply
    307,985.40x = 461,978.10 × 251,998.20
  4. Step 4: Simplify right side
    307,985.40x = 116,417,649,639.42
  5. Step 5: Solve for x
    x = 116,417,649,639.42/307,985.40
  6. Step 6: Final answer
    x = 377,997.30

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Similar ratio
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1.5x scale

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.