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Finding the Fourth Proportional to 767,609.60, 1,151,403.60 and 346,884.80

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Solution

The fourth proportional to 767,609.60, 1,151,403.60 and 346,884.80 is: 520,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,609.60 : 1,151,403.60 = 346,884.80 : x
  2. Step 2: Convert to fraction form
    767,609.60/1,151,403.60 = 346,884.80/x
  3. Step 3: Cross multiply
    767,609.60x = 1,151,403.60 × 346,884.80
  4. Step 4: Simplify right side
    767,609.60x = 399,404,407,505.28
  5. Step 5: Solve for x
    x = 399,404,407,505.28/767,609.60
  6. Step 6: Final answer
    x = 520,322.32

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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.