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Finding the Fourth Proportional to 397,609.31, 549,031.92 and 368,760.96

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Solution

The fourth proportional to 397,609.31, 549,031.92 and 368,760.96 is: 509,197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,609.31 : 549,031.92 = 368,760.96 : x
  2. Step 2: Convert to fraction form
    397,609.31/549,031.92 = 368,760.96/x
  3. Step 3: Cross multiply
    397,609.31x = 549,031.92 × 368,760.96
  4. Step 4: Simplify right side
    397,609.31x = 202,461,537,889.84
  5. Step 5: Solve for x
    x = 202,461,537,889.84/397,609.31
  6. Step 6: Final answer
    x = 509,197.18

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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.