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Finding the Fourth Proportional to 461,071, 636,802.86 and 309,905.56

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Solution

The fourth proportional to 461,071, 636,802.86 and 309,905.56 is: 428,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,071 : 636,802.86 = 309,905.56 : x
  2. Step 2: Convert to fraction form
    461,071/636,802.86 = 309,905.56/x
  3. Step 3: Cross multiply
    461,071x = 636,802.86 × 309,905.56
  4. Step 4: Simplify right side
    461,071x = 197,348,746,937.90
  5. Step 5: Solve for x
    x = 197,348,746,937.90/461,071
  6. Step 6: Final answer
    x = 428,022.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.