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Finding the Fourth Proportional to 417,018.21, 575,485.74 and 226,031.55

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Solution

The fourth proportional to 417,018.21, 575,485.74 and 226,031.55 is: 311,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,018.21 : 575,485.74 = 226,031.55 : x
  2. Step 2: Convert to fraction form
    417,018.21/575,485.74 = 226,031.55/x
  3. Step 3: Cross multiply
    417,018.21x = 575,485.74 × 226,031.55
  4. Step 4: Simplify right side
    417,018.21x = 130,077,933,815.10
  5. Step 5: Solve for x
    x = 130,077,933,815.10/417,018.21
  6. Step 6: Final answer
    x = 311,923.87

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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.