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Finding the Fourth Proportional to 257,722.96, 355,675.44 and 144,553

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Solution

The fourth proportional to 257,722.96, 355,675.44 and 144,553 is: 199,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,722.96 : 355,675.44 = 144,553 : x
  2. Step 2: Convert to fraction form
    257,722.96/355,675.44 = 144,553/x
  3. Step 3: Cross multiply
    257,722.96x = 355,675.44 × 144,553
  4. Step 4: Simplify right side
    257,722.96x = 51,413,951,878.32
  5. Step 5: Solve for x
    x = 51,413,951,878.32/257,722.96
  6. Step 6: Final answer
    x = 199,493.10

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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.