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Finding the Fourth Proportional to 257,613.89, 355,434.48 and 166,973.67

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Solution

The fourth proportional to 257,613.89, 355,434.48 and 166,973.67 is: 230,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,613.89 : 355,434.48 = 166,973.67 : x
  2. Step 2: Convert to fraction form
    257,613.89/355,434.48 = 166,973.67/x
  3. Step 3: Cross multiply
    257,613.89x = 355,434.48 × 166,973.67
  4. Step 4: Simplify right side
    257,613.89x = 59,348,199,570.14
  5. Step 5: Solve for x
    x = 59,348,199,570.14/257,613.89
  6. Step 6: Final answer
    x = 230,376.56

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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.