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Finding the Fourth Proportional to 285,678.14, 428,455.70 and 117,033.10

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Solution

The fourth proportional to 285,678.14, 428,455.70 and 117,033.10 is: 175,524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,678.14 : 428,455.70 = 117,033.10 : x
  2. Step 2: Convert to fraction form
    285,678.14/428,455.70 = 117,033.10/x
  3. Step 3: Cross multiply
    285,678.14x = 428,455.70 × 117,033.10
  4. Step 4: Simplify right side
    285,678.14x = 50,143,498,783.67
  5. Step 5: Solve for x
    x = 50,143,498,783.67/285,678.14
  6. Step 6: Final answer
    x = 175,524.45

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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.