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Finding the Fourth Proportional to 285,653.61, 428,536.46 and 105,740.61

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Solution

The fourth proportional to 285,653.61, 428,536.46 and 105,740.61 is: 158,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,653.61 : 428,536.46 = 105,740.61 : x
  2. Step 2: Convert to fraction form
    285,653.61/428,536.46 = 105,740.61/x
  3. Step 3: Cross multiply
    285,653.61x = 428,536.46 × 105,740.61
  4. Step 4: Simplify right side
    285,653.61x = 45,313,706,951.99
  5. Step 5: Solve for x
    x = 45,313,706,951.99/285,653.61
  6. Step 6: Final answer
    x = 158,631.66

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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.