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Finding the Fourth Proportional to 452,668.96, 678,986.16 and 153,172

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Solution

The fourth proportional to 452,668.96, 678,986.16 and 153,172 is: 229,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,668.96 : 678,986.16 = 153,172 : x
  2. Step 2: Convert to fraction form
    452,668.96/678,986.16 = 153,172/x
  3. Step 3: Cross multiply
    452,668.96x = 678,986.16 × 153,172
  4. Step 4: Simplify right side
    452,668.96x = 104,001,668,099.52
  5. Step 5: Solve for x
    x = 104,001,668,099.52/452,668.96
  6. Step 6: Final answer
    x = 229,752.15

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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.