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Finding the Fourth Proportional to 399,428.20, 599,316.54 and 212,220.52

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Solution

The fourth proportional to 399,428.20, 599,316.54 and 212,220.52 is: 318,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,428.20 : 599,316.54 = 212,220.52 : x
  2. Step 2: Convert to fraction form
    399,428.20/599,316.54 = 212,220.52/x
  3. Step 3: Cross multiply
    399,428.20x = 599,316.54 × 212,220.52
  4. Step 4: Simplify right side
    399,428.20x = 127,187,267,763.40
  5. Step 5: Solve for x
    x = 127,187,267,763.40/399,428.20
  6. Step 6: Final answer
    x = 318,423.36

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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.