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Finding the Fourth Proportional to 411,930.40, 577,532 and 411,930.40

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Solution

The fourth proportional to 411,930.40, 577,532 and 411,930.40 is: 577,532

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,930.40 : 577,532 = 411,930.40 : x
  2. Step 2: Convert to fraction form
    411,930.40/577,532 = 411,930.40/x
  3. Step 3: Cross multiply
    411,930.40x = 577,532 × 411,930.40
  4. Step 4: Simplify right side
    411,930.40x = 237,902,987,772.80
  5. Step 5: Solve for x
    x = 237,902,987,772.80/411,930.40
  6. Step 6: Final answer
    x = 577,532

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.