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Finding the Fourth Proportional to 285,796.74, 428,386.65 and 125,730.21

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Solution

The fourth proportional to 285,796.74, 428,386.65 and 125,730.21 is: 188,459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,796.74 : 428,386.65 = 125,730.21 : x
  2. Step 2: Convert to fraction form
    285,796.74/428,386.65 = 125,730.21/x
  3. Step 3: Cross multiply
    285,796.74x = 428,386.65 × 125,730.21
  4. Step 4: Simplify right side
    285,796.74x = 53,861,143,465.70
  5. Step 5: Solve for x
    x = 53,861,143,465.70/285,796.74
  6. Step 6: Final answer
    x = 188,459.61

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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.