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Finding the Fourth Proportional to 470,014, 648,620.13 and 268,810

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Solution

The fourth proportional to 470,014, 648,620.13 and 268,810 is: 370,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,014 : 648,620.13 = 268,810 : x
  2. Step 2: Convert to fraction form
    470,014/648,620.13 = 268,810/x
  3. Step 3: Cross multiply
    470,014x = 648,620.13 × 268,810
  4. Step 4: Simplify right side
    470,014x = 174,355,577,145.30
  5. Step 5: Solve for x
    x = 174,355,577,145.30/470,014
  6. Step 6: Final answer
    x = 370,958.26

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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.