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Finding the Fourth Proportional to 285,858.54, 428,700.03 and 197,678.70

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Solution

The fourth proportional to 285,858.54, 428,700.03 and 197,678.70 is: 296,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,858.54 : 428,700.03 = 197,678.70 : x
  2. Step 2: Convert to fraction form
    285,858.54/428,700.03 = 197,678.70/x
  3. Step 3: Cross multiply
    285,858.54x = 428,700.03 × 197,678.70
  4. Step 4: Simplify right side
    285,858.54x = 84,744,864,620.36
  5. Step 5: Solve for x
    x = 84,744,864,620.36/285,858.54
  6. Step 6: Final answer
    x = 296,457.35

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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.