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Finding the Fourth Proportional to 397,885.73, 549,575.48 and 288,815.81

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Solution

The fourth proportional to 397,885.73, 549,575.48 and 288,815.81 is: 398,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,885.73 : 549,575.48 = 288,815.81 : x
  2. Step 2: Convert to fraction form
    397,885.73/549,575.48 = 288,815.81/x
  3. Step 3: Cross multiply
    397,885.73x = 549,575.48 × 288,815.81
  4. Step 4: Simplify right side
    397,885.73x = 158,726,087,412.34
  5. Step 5: Solve for x
    x = 158,726,087,412.34/397,885.73
  6. Step 6: Final answer
    x = 398,923.80

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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.