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Finding the Fourth Proportional to 428,055.86, 590,709.84 and 237,065.15

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Solution

The fourth proportional to 428,055.86, 590,709.84 and 237,065.15 is: 327,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,055.86 : 590,709.84 = 237,065.15 : x
  2. Step 2: Convert to fraction form
    428,055.86/590,709.84 = 237,065.15/x
  3. Step 3: Cross multiply
    428,055.86x = 590,709.84 × 237,065.15
  4. Step 4: Simplify right side
    428,055.86x = 140,036,716,826.08
  5. Step 5: Solve for x
    x = 140,036,716,826.08/428,055.86
  6. Step 6: Final answer
    x = 327,145.89

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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.