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Finding the Fourth Proportional to 765,771, 1,146,650.04 and 539,908.80

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Solution

The fourth proportional to 765,771, 1,146,650.04 and 539,908.80 is: 808,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,771 : 1,146,650.04 = 539,908.80 : x
  2. Step 2: Convert to fraction form
    765,771/1,146,650.04 = 539,908.80/x
  3. Step 3: Cross multiply
    765,771x = 1,146,650.04 × 539,908.80
  4. Step 4: Simplify right side
    765,771x = 619,086,447,116.35
  5. Step 5: Solve for x
    x = 619,086,447,116.35/765,771
  6. Step 6: Final answer
    x = 808,448.54

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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.