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Finding the Fourth Proportional to 768,906.40, 1,153,561.20 and 295,607.20

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Solution

The fourth proportional to 768,906.40, 1,153,561.20 and 295,607.20 is: 443,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,906.40 : 1,153,561.20 = 295,607.20 : x
  2. Step 2: Convert to fraction form
    768,906.40/1,153,561.20 = 295,607.20/x
  3. Step 3: Cross multiply
    768,906.40x = 1,153,561.20 × 295,607.20
  4. Step 4: Simplify right side
    768,906.40x = 341,000,996,360.64
  5. Step 5: Solve for x
    x = 341,000,996,360.64/768,906.40
  6. Step 6: Final answer
    x = 443,488.31

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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.