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Finding the Fourth Proportional to 257,476.96, 386,322 and 139,008.96

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Solution

The fourth proportional to 257,476.96, 386,322 and 139,008.96 is: 208,570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,476.96 : 386,322 = 139,008.96 : x
  2. Step 2: Convert to fraction form
    257,476.96/386,322 = 139,008.96/x
  3. Step 3: Cross multiply
    257,476.96x = 386,322 × 139,008.96
  4. Step 4: Simplify right side
    257,476.96x = 53,702,219,445.12
  5. Step 5: Solve for x
    x = 53,702,219,445.12/257,476.96
  6. Step 6: Final answer
    x = 208,570.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.