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Finding the Fourth Proportional to 257,870.96, 385,041.64 and 231,043.76

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Solution

The fourth proportional to 257,870.96, 385,041.64 and 231,043.76 is: 344,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,870.96 : 385,041.64 = 231,043.76 : x
  2. Step 2: Convert to fraction form
    257,870.96/385,041.64 = 231,043.76/x
  3. Step 3: Cross multiply
    257,870.96x = 385,041.64 × 231,043.76
  4. Step 4: Simplify right side
    257,870.96x = 88,961,468,262.17
  5. Step 5: Solve for x
    x = 88,961,468,262.17/257,870.96
  6. Step 6: Final answer
    x = 344,984.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.