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Finding the Fourth Proportional to 257,609.13, 386,468.37 and 77,700.03

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Solution

The fourth proportional to 257,609.13, 386,468.37 and 77,700.03 is: 116,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,609.13 : 386,468.37 = 77,700.03 : x
  2. Step 2: Convert to fraction form
    257,609.13/386,468.37 = 77,700.03/x
  3. Step 3: Cross multiply
    257,609.13x = 386,468.37 × 77,700.03
  4. Step 4: Simplify right side
    257,609.13x = 30,028,603,943.05
  5. Step 5: Solve for x
    x = 30,028,603,943.05/257,609.13
  6. Step 6: Final answer
    x = 116,566.54

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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.