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Finding the Fourth Proportional to 821,212.60, 1,231,703.70 and 260,303.80

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Solution

The fourth proportional to 821,212.60, 1,231,703.70 and 260,303.80 is: 390,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,212.60 : 1,231,703.70 = 260,303.80 : x
  2. Step 2: Convert to fraction form
    821,212.60/1,231,703.70 = 260,303.80/x
  3. Step 3: Cross multiply
    821,212.60x = 1,231,703.70 × 260,303.80
  4. Step 4: Simplify right side
    821,212.60x = 320,617,153,584.06
  5. Step 5: Solve for x
    x = 320,617,153,584.06/821,212.60
  6. Step 6: Final answer
    x = 390,419.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.