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Finding the Fourth Proportional to 259,406.08, 357,980.64 and 140,174.08

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Solution

The fourth proportional to 259,406.08, 357,980.64 and 140,174.08 is: 193,440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,406.08 : 357,980.64 = 140,174.08 : x
  2. Step 2: Convert to fraction form
    259,406.08/357,980.64 = 140,174.08/x
  3. Step 3: Cross multiply
    259,406.08x = 357,980.64 × 140,174.08
  4. Step 4: Simplify right side
    259,406.08x = 50,179,606,869.81
  5. Step 5: Solve for x
    x = 50,179,606,869.81/259,406.08
  6. Step 6: Final answer
    x = 193,440.37

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1.5x scale

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.