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Finding the Fourth Proportional to 430,859.70, 646,584.90 and 150,376.98

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Solution

The fourth proportional to 430,859.70, 646,584.90 and 150,376.98 is: 225,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,859.70 : 646,584.90 = 150,376.98 : x
  2. Step 2: Convert to fraction form
    430,859.70/646,584.90 = 150,376.98/x
  3. Step 3: Cross multiply
    430,859.70x = 646,584.90 × 150,376.98
  4. Step 4: Simplify right side
    430,859.70x = 97,231,484,575.60
  5. Step 5: Solve for x
    x = 97,231,484,575.60/430,859.70
  6. Step 6: Final answer
    x = 225,668.55

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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.