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Finding the Fourth Proportional to 819,010.30, 1,228,515.45 and 765,866.20

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Solution

The fourth proportional to 819,010.30, 1,228,515.45 and 765,866.20 is: 1,148,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,010.30 : 1,228,515.45 = 765,866.20 : x
  2. Step 2: Convert to fraction form
    819,010.30/1,228,515.45 = 765,866.20/x
  3. Step 3: Cross multiply
    819,010.30x = 1,228,515.45 × 765,866.20
  4. Step 4: Simplify right side
    819,010.30x = 940,878,459,332.79
  5. Step 5: Solve for x
    x = 940,878,459,332.79/819,010.30
  6. Step 6: Final answer
    x = 1,148,799.30

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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.