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Finding the Fourth Proportional to 430,095.80, 644,990.10 and 149,622.20

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Solution

The fourth proportional to 430,095.80, 644,990.10 and 149,622.20 is: 224,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,095.80 : 644,990.10 = 149,622.20 : x
  2. Step 2: Convert to fraction form
    430,095.80/644,990.10 = 149,622.20/x
  3. Step 3: Cross multiply
    430,095.80x = 644,990.10 × 149,622.20
  4. Step 4: Simplify right side
    430,095.80x = 96,504,837,740.22
  5. Step 5: Solve for x
    x = 96,504,837,740.22/430,095.80
  6. Step 6: Final answer
    x = 224,379.87

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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.