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Finding the Fourth Proportional to 430,858.61, 646,583.13 and 150,375.86

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Solution

The fourth proportional to 430,858.61, 646,583.13 and 150,375.86 is: 225,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,858.61 : 646,583.13 = 150,375.86 : x
  2. Step 2: Convert to fraction form
    430,858.61/646,583.13 = 150,375.86/x
  3. Step 3: Cross multiply
    430,858.61x = 646,583.13 × 150,375.86
  4. Step 4: Simplify right side
    430,858.61x = 97,230,494,235.24
  5. Step 5: Solve for x
    x = 97,230,494,235.24/430,858.61
  6. Step 6: Final answer
    x = 225,666.82

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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.