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Finding the Fourth Proportional to 257,056.40, 385,469.40 and 99,232.40

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Solution

The fourth proportional to 257,056.40, 385,469.40 and 99,232.40 is: 148,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,056.40 : 385,469.40 = 99,232.40 : x
  2. Step 2: Convert to fraction form
    257,056.40/385,469.40 = 99,232.40/x
  3. Step 3: Cross multiply
    257,056.40x = 385,469.40 × 99,232.40
  4. Step 4: Simplify right side
    257,056.40x = 38,251,053,688.56
  5. Step 5: Solve for x
    x = 38,251,053,688.56/257,056.40
  6. Step 6: Final answer
    x = 148,804.13

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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.