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Finding the Fourth Proportional to 399,064.80, 599,288.40 and 212,440.80

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Solution

The fourth proportional to 399,064.80, 599,288.40 and 212,440.80 is: 319,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,064.80 : 599,288.40 = 212,440.80 : x
  2. Step 2: Convert to fraction form
    399,064.80/599,288.40 = 212,440.80/x
  3. Step 3: Cross multiply
    399,064.80x = 599,288.40 × 212,440.80
  4. Step 4: Simplify right side
    399,064.80x = 127,313,307,126.72
  5. Step 5: Solve for x
    x = 127,313,307,126.72/399,064.80
  6. Step 6: Final answer
    x = 319,029.16

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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.