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Finding the Fourth Proportional to 766,657, 1,057,942.65 and 439,900.84

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Solution

The fourth proportional to 766,657, 1,057,942.65 and 439,900.84 is: 607,037.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,657 : 1,057,942.65 = 439,900.84 : x
  2. Step 2: Convert to fraction form
    766,657/1,057,942.65 = 439,900.84/x
  3. Step 3: Cross multiply
    766,657x = 1,057,942.65 × 439,900.84
  4. Step 4: Simplify right side
    766,657x = 465,389,860,406.83
  5. Step 5: Solve for x
    x = 465,389,860,406.83/766,657
  6. Step 6: Final answer
    x = 607,037.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.