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Finding the Fourth Proportional to 428,055.36, 590,709.15 and 237,064.65

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Solution

The fourth proportional to 428,055.36, 590,709.15 and 237,064.65 is: 327,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,055.36 : 590,709.15 = 237,064.65 : x
  2. Step 2: Convert to fraction form
    428,055.36/590,709.15 = 237,064.65/x
  3. Step 3: Cross multiply
    428,055.36x = 590,709.15 × 237,064.65
  4. Step 4: Simplify right side
    428,055.36x = 140,036,257,896.55
  5. Step 5: Solve for x
    x = 140,036,257,896.55/428,055.36
  6. Step 6: Final answer
    x = 327,145.20

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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.