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Finding the Fourth Proportional to 398,050.95, 549,297.27 and 216,761.48

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Solution

The fourth proportional to 398,050.95, 549,297.27 and 216,761.48 is: 299,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,050.95 : 549,297.27 = 216,761.48 : x
  2. Step 2: Convert to fraction form
    398,050.95/549,297.27 = 216,761.48/x
  3. Step 3: Cross multiply
    398,050.95x = 549,297.27 × 216,761.48
  4. Step 4: Simplify right side
    398,050.95x = 119,066,486,458.67
  5. Step 5: Solve for x
    x = 119,066,486,458.67/398,050.95
  6. Step 6: Final answer
    x = 299,123.73

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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.