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Finding the Fourth Proportional to 411,644.20, 616,256.70 and 306,927.40

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Solution

The fourth proportional to 411,644.20, 616,256.70 and 306,927.40 is: 459,489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,644.20 : 616,256.70 = 306,927.40 : x
  2. Step 2: Convert to fraction form
    411,644.20/616,256.70 = 306,927.40/x
  3. Step 3: Cross multiply
    411,644.20x = 616,256.70 × 306,927.40
  4. Step 4: Simplify right side
    411,644.20x = 189,146,066,663.58
  5. Step 5: Solve for x
    x = 189,146,066,663.58/411,644.20
  6. Step 6: Final answer
    x = 459,489.21

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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.