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Finding the Fourth Proportional to 343,847.40, 515,771.10 and 314,298.60

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Solution

The fourth proportional to 343,847.40, 515,771.10 and 314,298.60 is: 471,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,847.40 : 515,771.10 = 314,298.60 : x
  2. Step 2: Convert to fraction form
    343,847.40/515,771.10 = 314,298.60/x
  3. Step 3: Cross multiply
    343,847.40x = 515,771.10 × 314,298.60
  4. Step 4: Simplify right side
    343,847.40x = 162,106,134,650.46
  5. Step 5: Solve for x
    x = 162,106,134,650.46/343,847.40
  6. Step 6: Final answer
    x = 471,447.90

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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.