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Finding the Fourth Proportional to 259,406.78, 357,926.91 and 157,485.90

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Solution

The fourth proportional to 259,406.78, 357,926.91 and 157,485.90 is: 217,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,406.78 : 357,926.91 = 157,485.90 : x
  2. Step 2: Convert to fraction form
    259,406.78/357,926.91 = 157,485.90/x
  3. Step 3: Cross multiply
    259,406.78x = 357,926.91 × 157,485.90
  4. Step 4: Simplify right side
    259,406.78x = 56,368,441,555.57
  5. Step 5: Solve for x
    x = 56,368,441,555.57/259,406.78
  6. Step 6: Final answer
    x = 217,297.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.