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Finding the Fourth Proportional to 421,137.23, 631,636.61 and 151,209.47

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Solution

The fourth proportional to 421,137.23, 631,636.61 and 151,209.47 is: 226,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,137.23 : 631,636.61 = 151,209.47 : x
  2. Step 2: Convert to fraction form
    421,137.23/631,636.61 = 151,209.47/x
  3. Step 3: Cross multiply
    421,137.23x = 631,636.61 × 151,209.47
  4. Step 4: Simplify right side
    421,137.23x = 95,509,437,853.74
  5. Step 5: Solve for x
    x = 95,509,437,853.74/421,137.23
  6. Step 6: Final answer
    x = 226,789.35

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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.