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Finding the Fourth Proportional to 398,076.95, 549,871.82 and 294,920.55

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Solution

The fourth proportional to 398,076.95, 549,871.82 and 294,920.55 is: 407,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,076.95 : 549,871.82 = 294,920.55 : x
  2. Step 2: Convert to fraction form
    398,076.95/549,871.82 = 294,920.55/x
  3. Step 3: Cross multiply
    398,076.95x = 549,871.82 × 294,920.55
  4. Step 4: Simplify right side
    398,076.95x = 162,168,498,109.30
  5. Step 5: Solve for x
    x = 162,168,498,109.30/398,076.95
  6. Step 6: Final answer
    x = 407,379.78

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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.