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Finding the Fourth Proportional to 257,871.60, 386,807.40 and 201,884.40

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Solution

The fourth proportional to 257,871.60, 386,807.40 and 201,884.40 is: 302,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,871.60 : 386,807.40 = 201,884.40 : x
  2. Step 2: Convert to fraction form
    257,871.60/386,807.40 = 201,884.40/x
  3. Step 3: Cross multiply
    257,871.60x = 386,807.40 × 201,884.40
  4. Step 4: Simplify right side
    257,871.60x = 78,090,379,864.56
  5. Step 5: Solve for x
    x = 78,090,379,864.56/257,871.60
  6. Step 6: Final answer
    x = 302,826.60

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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.