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Finding the Fourth Proportional to 417,027.24, 575,041.14 and 309,796.20

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Solution

The fourth proportional to 417,027.24, 575,041.14 and 309,796.20 is: 427,179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,027.24 : 575,041.14 = 309,796.20 : x
  2. Step 2: Convert to fraction form
    417,027.24/575,041.14 = 309,796.20/x
  3. Step 3: Cross multiply
    417,027.24x = 575,041.14 × 309,796.20
  4. Step 4: Simplify right side
    417,027.24x = 178,145,560,015.67
  5. Step 5: Solve for x
    x = 178,145,560,015.67/417,027.24
  6. Step 6: Final answer
    x = 427,179.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.