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Finding the Fourth Proportional to 257,855.68, 386,783 and 145,484.90

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Solution

The fourth proportional to 257,855.68, 386,783 and 145,484.90 is: 218,227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,855.68 : 386,783 = 145,484.90 : x
  2. Step 2: Convert to fraction form
    257,855.68/386,783 = 145,484.90/x
  3. Step 3: Cross multiply
    257,855.68x = 386,783 × 145,484.90
  4. Step 4: Simplify right side
    257,855.68x = 56,271,086,076.70
  5. Step 5: Solve for x
    x = 56,271,086,076.70/257,855.68
  6. Step 6: Final answer
    x = 218,227.06

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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.