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Finding the Fourth Proportional to 257,412.72, 386,225.09 and 113,244.47

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Solution

The fourth proportional to 257,412.72, 386,225.09 and 113,244.47 is: 169,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,412.72 : 386,225.09 = 113,244.47 : x
  2. Step 2: Convert to fraction form
    257,412.72/386,225.09 = 113,244.47/x
  3. Step 3: Cross multiply
    257,412.72x = 386,225.09 × 113,244.47
  4. Step 4: Simplify right side
    257,412.72x = 43,737,855,617.75
  5. Step 5: Solve for x
    x = 43,737,855,617.75/257,412.72
  6. Step 6: Final answer
    x = 169,913.34

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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.