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Finding the Fourth Proportional to 398,287.96, 549,840.53 and 269,904.69

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Solution

The fourth proportional to 398,287.96, 549,840.53 and 269,904.69 is: 372,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,287.96 : 549,840.53 = 269,904.69 : x
  2. Step 2: Convert to fraction form
    398,287.96/549,840.53 = 269,904.69/x
  3. Step 3: Cross multiply
    398,287.96x = 549,840.53 × 269,904.69
  4. Step 4: Simplify right side
    398,287.96x = 148,404,537,799.09
  5. Step 5: Solve for x
    x = 148,404,537,799.09/398,287.96
  6. Step 6: Final answer
    x = 372,606.14

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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.