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Finding the Fourth Proportional to 645,478.98, 967,332.70 and 408,397.25

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Solution

The fourth proportional to 645,478.98, 967,332.70 and 408,397.25 is: 612,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,478.98 : 967,332.70 = 408,397.25 : x
  2. Step 2: Convert to fraction form
    645,478.98/967,332.70 = 408,397.25/x
  3. Step 3: Cross multiply
    645,478.98x = 967,332.70 × 408,397.25
  4. Step 4: Simplify right side
    645,478.98x = 395,056,014,515.08
  5. Step 5: Solve for x
    x = 395,056,014,515.08/645,478.98
  6. Step 6: Final answer
    x = 612,035.44

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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.