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Finding the Fourth Proportional to 470,832.60, 649,761.80 and 255,987.12

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Solution

The fourth proportional to 470,832.60, 649,761.80 and 255,987.12 is: 353,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,832.60 : 649,761.80 = 255,987.12 : x
  2. Step 2: Convert to fraction form
    470,832.60/649,761.80 = 255,987.12/x
  3. Step 3: Cross multiply
    470,832.60x = 649,761.80 × 255,987.12
  4. Step 4: Simplify right side
    470,832.60x = 166,330,651,868.02
  5. Step 5: Solve for x
    x = 166,330,651,868.02/470,832.60
  6. Step 6: Final answer
    x = 353,269.19

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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.