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Finding the Fourth Proportional to 398,415.83, 549,797.78 and 217,123.85

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Solution

The fourth proportional to 398,415.83, 549,797.78 and 217,123.85 is: 299,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,415.83 : 549,797.78 = 217,123.85 : x
  2. Step 2: Convert to fraction form
    398,415.83/549,797.78 = 217,123.85/x
  3. Step 3: Cross multiply
    398,415.83x = 549,797.78 × 217,123.85
  4. Step 4: Simplify right side
    398,415.83x = 119,374,212,632.36
  5. Step 5: Solve for x
    x = 119,374,212,632.36/398,415.83
  6. Step 6: Final answer
    x = 299,622.17

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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.