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Finding the Fourth Proportional to 414,072.32, 621,108.54 and 129,762.77

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Solution

The fourth proportional to 414,072.32, 621,108.54 and 129,762.77 is: 194,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,072.32 : 621,108.54 = 129,762.77 : x
  2. Step 2: Convert to fraction form
    414,072.32/621,108.54 = 129,762.77/x
  3. Step 3: Cross multiply
    414,072.32x = 621,108.54 × 129,762.77
  4. Step 4: Simplify right side
    414,072.32x = 80,596,761,515.51
  5. Step 5: Solve for x
    x = 80,596,761,515.51/414,072.32
  6. Step 6: Final answer
    x = 194,644.17

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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.