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Finding the Fourth Proportional to 396,969.95, 596,220.84 and 340,172.61

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Solution

The fourth proportional to 396,969.95, 596,220.84 and 340,172.61 is: 510,915.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,969.95 : 596,220.84 = 340,172.61 : x
  2. Step 2: Convert to fraction form
    396,969.95/596,220.84 = 340,172.61/x
  3. Step 3: Cross multiply
    396,969.95x = 596,220.84 × 340,172.61
  4. Step 4: Simplify right side
    396,969.95x = 202,817,999,279.19
  5. Step 5: Solve for x
    x = 202,817,999,279.19/396,969.95
  6. Step 6: Final answer
    x = 510,915.25

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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.