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Finding the Fourth Proportional to 768,165.60, 1,151,276.40 and 294,218.40

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Solution

The fourth proportional to 768,165.60, 1,151,276.40 and 294,218.40 is: 440,955.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,165.60 : 1,151,276.40 = 294,218.40 : x
  2. Step 2: Convert to fraction form
    768,165.60/1,151,276.40 = 294,218.40/x
  3. Step 3: Cross multiply
    768,165.60x = 1,151,276.40 × 294,218.40
  4. Step 4: Simplify right side
    768,165.60x = 338,726,700,365.76
  5. Step 5: Solve for x
    x = 338,726,700,365.76/768,165.60
  6. Step 6: Final answer
    x = 440,955.31

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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.