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Finding the Fourth Proportional to 470,671.70, 649,531.31 and 255,812.31

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Solution

The fourth proportional to 470,671.70, 649,531.31 and 255,812.31 is: 353,023.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,671.70 : 649,531.31 = 255,812.31 : x
  2. Step 2: Convert to fraction form
    470,671.70/649,531.31 = 255,812.31/x
  3. Step 3: Cross multiply
    470,671.70x = 649,531.31 × 255,812.31
  4. Step 4: Simplify right side
    470,671.70x = 166,158,103,549.37
  5. Step 5: Solve for x
    x = 166,158,103,549.37/470,671.70
  6. Step 6: Final answer
    x = 353,023.36

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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.