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Finding the Fourth Proportional to 285,908.02, 428,697.93 and 108,301.75

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Solution

The fourth proportional to 285,908.02, 428,697.93 and 108,301.75 is: 162,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,908.02 : 428,697.93 = 108,301.75 : x
  2. Step 2: Convert to fraction form
    285,908.02/428,697.93 = 108,301.75/x
  3. Step 3: Cross multiply
    285,908.02x = 428,697.93 × 108,301.75
  4. Step 4: Simplify right side
    285,908.02x = 46,428,736,040.38
  5. Step 5: Solve for x
    x = 46,428,736,040.38/285,908.02
  6. Step 6: Final answer
    x = 162,390.46

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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.