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Finding the Fourth Proportional to 561,664.50, 775,097.01 and 307,016.70

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Solution

The fourth proportional to 561,664.50, 775,097.01 and 307,016.70 is: 423,683.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,664.50 : 775,097.01 = 307,016.70 : x
  2. Step 2: Convert to fraction form
    561,664.50/775,097.01 = 307,016.70/x
  3. Step 3: Cross multiply
    561,664.50x = 775,097.01 × 307,016.70
  4. Step 4: Simplify right side
    561,664.50x = 237,967,726,190.07
  5. Step 5: Solve for x
    x = 237,967,726,190.07/561,664.50
  6. Step 6: Final answer
    x = 423,683.05

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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.