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Finding the Fourth Proportional to 340,890.32, 510,770.52 and 207,366.80

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Solution

The fourth proportional to 340,890.32, 510,770.52 and 207,366.80 is: 310,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,890.32 : 510,770.52 = 207,366.80 : x
  2. Step 2: Convert to fraction form
    340,890.32/510,770.52 = 207,366.80/x
  3. Step 3: Cross multiply
    340,890.32x = 510,770.52 × 207,366.80
  4. Step 4: Simplify right side
    340,890.32x = 105,916,848,266.74
  5. Step 5: Solve for x
    x = 105,916,848,266.74/340,890.32
  6. Step 6: Final answer
    x = 310,706.53

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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.