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Finding the Fourth Proportional to 644,814.40, 967,999.20 and 360,731.20

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Solution

The fourth proportional to 644,814.40, 967,999.20 and 360,731.20 is: 541,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,814.40 : 967,999.20 = 360,731.20 : x
  2. Step 2: Convert to fraction form
    644,814.40/967,999.20 = 360,731.20/x
  3. Step 3: Cross multiply
    644,814.40x = 967,999.20 × 360,731.20
  4. Step 4: Simplify right side
    644,814.40x = 349,187,513,015.04
  5. Step 5: Solve for x
    x = 349,187,513,015.04/644,814.40
  6. Step 6: Final answer
    x = 541,531.82

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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.