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Finding the Fourth Proportional to 257,072.40, 385,493.40 and 99,248.40

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Solution

The fourth proportional to 257,072.40, 385,493.40 and 99,248.40 is: 148,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,072.40 : 385,493.40 = 99,248.40 : x
  2. Step 2: Convert to fraction form
    257,072.40/385,493.40 = 99,248.40/x
  3. Step 3: Cross multiply
    257,072.40x = 385,493.40 × 99,248.40
  4. Step 4: Simplify right side
    257,072.40x = 38,259,603,160.56
  5. Step 5: Solve for x
    x = 38,259,603,160.56/257,072.40
  6. Step 6: Final answer
    x = 148,828.12

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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.