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Finding the Fourth Proportional to 438,056.56, 657,155.82 and 171,672.64

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Solution

The fourth proportional to 438,056.56, 657,155.82 and 171,672.64 is: 257,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,056.56 : 657,155.82 = 171,672.64 : x
  2. Step 2: Convert to fraction form
    438,056.56/657,155.82 = 171,672.64/x
  3. Step 3: Cross multiply
    438,056.56x = 657,155.82 × 171,672.64
  4. Step 4: Simplify right side
    438,056.56x = 112,815,674,510.77
  5. Step 5: Solve for x
    x = 112,815,674,510.77/438,056.56
  6. Step 6: Final answer
    x = 257,536.78

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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.