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Finding the Fourth Proportional to 632,214.40, 872,446.80 and 345,727.12

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Solution

The fourth proportional to 632,214.40, 872,446.80 and 345,727.12 is: 477,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,214.40 : 872,446.80 = 345,727.12 : x
  2. Step 2: Convert to fraction form
    632,214.40/872,446.80 = 345,727.12/x
  3. Step 3: Cross multiply
    632,214.40x = 872,446.80 × 345,727.12
  4. Step 4: Simplify right side
    632,214.40x = 301,628,519,517.22
  5. Step 5: Solve for x
    x = 301,628,519,517.22/632,214.40
  6. Step 6: Final answer
    x = 477,098.46

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1.5x scale

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.