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Finding the Fourth Proportional to 640,921.60, 961,090.80 and 285,752.80

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Solution

The fourth proportional to 640,921.60, 961,090.80 and 285,752.80 is: 428,499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,921.60 : 961,090.80 = 285,752.80 : x
  2. Step 2: Convert to fraction form
    640,921.60/961,090.80 = 285,752.80/x
  3. Step 3: Cross multiply
    640,921.60x = 961,090.80 × 285,752.80
  4. Step 4: Simplify right side
    640,921.60x = 274,634,387,154.24
  5. Step 5: Solve for x
    x = 274,634,387,154.24/640,921.60
  6. Step 6: Final answer
    x = 428,499.19

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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.