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Finding the Fourth Proportional to 398,127, 549,415.26 and 219,279

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Solution

The fourth proportional to 398,127, 549,415.26 and 219,279 is: 302,605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,127 : 549,415.26 = 219,279 : x
  2. Step 2: Convert to fraction form
    398,127/549,415.26 = 219,279/x
  3. Step 3: Cross multiply
    398,127x = 549,415.26 × 219,279
  4. Step 4: Simplify right side
    398,127x = 120,475,228,797.54
  5. Step 5: Solve for x
    x = 120,475,228,797.54/398,127
  6. Step 6: Final answer
    x = 302,605.02

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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.